This is a great request. Thanks!! I remember a friend, another diocesan hermit (New Zealand), asked me about this once. She wondered if I could spell these out for her and I remember that we constructed a list at one point, but I am not sure I ever blogged about it.***That was several years ago now so I should consider doing it again in any case. The question of rights and obligations (and, let me add, the expectations others are allowed to legitimately hold in regard to these hermits) is the one piece of things that helps us understand what it means to be part of the consecrated state, for instance. It is the one thing which calls for an affirmation of difference between the lay and consecrated states while not allowing us to say one eremitical state is better than the other. It is also the piece of things that prevents anyone from cogently making the argument that solitary canonical hermits are all about externals. Hermits with private commitments are neither better nor worse than canonical hermits, but the two are vastly different in the rights and obligations associated with each vocation. Before I speak of these let me say that the most fundamental right and obligation of the canonical hermit is the right and obligation (the privilege, that is) to give oneself entirely to seeking union with God. That is presupposed in every other right or obligation and expectation associated with her life. The rights and obligations associated with the canonical state are meant to help structure and shape a life in which this central privilege can be realized for the sake of all God holds precious.
The Rights:
There are certain rights that come with canonical profession and consecration. The right to style oneself as Sister or Brother and be recognized as a vowed religious despite the fact that one is not part of a congregation or community is a right associated with c 603. One has the right to establish oneself/one's hermitage as a non-profit (301(c) 3), if doing so is actually helpful to one's ministry. (I decided this option does not assist me at all because I don't have retreatants or others coming for whom I might have expenses; nonetheless, I have this right). Canonical hermits have the right to call themselves Catholic Hermits and live this life in the name of the Church. In fact, they are commissioned to do so at profession. (Some have mistaken this as meaning the hermit speaks or writes in the name of the Church, but no, one lives eremitical life in the name of the Church and represents this vocation as best one can do with all the assistance the Church and Holy Spirit provides.)
When given specific permission by one's bishop, canonical hermits under c 603 have the right to reserve Eucharist in their hermitage, and wear a habit (though not the habit of an identifiable Order or congregation). Additionally they may be given the right to wear a prayer garment (cowl, etc) publicly as a sign of their commission to undertake this specific ministry in the name of the Church and part of their representation of a place in the Church's long eremitical history. Any other perks attached to civil law having to do with public vows of poverty, for instance, will also apply to the c 603 hermit. Finally, one has the right to expect one's local bishop (and/or the person delegated in this matter) to give one time to meet as needed, to take the time necessary to get to know the hermit and the way she lives this life. This means one (or one's Delegate) has a right to get an appointment with the bishop when needed --- something that others may not be considered to have a right to; this is so because canon 603 refers explicitly to mutual responsibilities entailed in the responsible "supervision" of this vocation.
The Obligations:
Far more important than the rights associated with canonical standing are the obligations. Some are attached to the rights already mentioned. The right to style oneself as a religious or to wear a habit is associated with the obligations of a religious. There are a number of these: living a formal life of prayer and penance for the sake of others, giving one's residence over to God and to seeking God in all things, living a life informed and structured by the evangelical counsels and one's vows (which means living a life of material simplicity/poverty (which may or may not include a cession of administration), a life committed to loving God, oneself, and others as well as all that God has created, to seeing all of these with the eyes of God, and to proclaiming the Good News of God in Christ rooted in one's own experience of the resurrected and ascended crucified One. One is obligated to be obedient --- meaning one is obligated to be open and attentive to the life and will of God, and therefore to engage in an active way in discernment with directors, delegates, and others who are similarly committed.
Likewise one is obligated to participate in ongoing formation for the whole of one's life. As part of this one is obligated to engage in regular spiritual direction and the related inner work that might call for or include; similarly one is required to make retreat at least once a year, and simply to do all it takes to make that an organic part of one's life --- not something exceptional to the rest of one's life. One is ordinarily required to make a will before perpetual profession, and to work out what one needs for care as one ages since the diocese does not provide for such needs; this can include nursing or retirement home care or something similar in a convent if this is available, and one will fill out a durable power of attorney for healthcare or living will, and other similar arrangements. These are the basic obligations of anyone with public vows within the Church.
The c 603 hermit's obligations include all of these and all of those things required by c 603 and her own Rule or Plan of Life. She will live a life of stricter separation from those things which are resistant to Christ, of assiduous prayer and penance in the silence of solitude. This means she will maintain a context defined in terms of all of these things, and she will structure her life in ways which make sure she will embody the silence of solitude and become God's own prayer in the world. Where most religious are active and proclaim the Gospel by what they do (teaching, nursing, ministry to families, to the marginalized, etc), hermits testify in a particularly vivid way to the dignity and meaningfulness of each and every individual life. They witness to the completion and authentic humanity stemming from the relationship we each have and are with God.
The Expectations:
Rights and Obligations imply expectations on the part of others. Because religious vocations (including c 603 vocations) are public and ecclesial vocations, this means that even when we are speaking of cloistered monks and nuns or hermits hidden in their hermitages, others both in the church and in the larger world have the right to hold expectations of such persons. Remember that religious during the Rite of Profession are called forth from the assembly; they answer some questions from the presider (bishop) re their readiness to embrace this commitment and thereafter the assembly witnesses as the vows are made, the consecration is mediated, the symbols of profession and consecration are given, and the vow formulas are signed and witnessed by (in my case), myself, the bishop, pastor, delegate, as well as being notarized by the ecclesiastical notary. All of this says, "What is occurring here is significant and you have the right to expect to be able to trust everything it says about these people, this commitment, and the God who empowers all of this." I cannot say that my life is private or hidden and for those reasons others may not have expectations regarding the way I live the elements of the canon, my vows, or my Rule.
It is true that I have a right to privacy (as does any other religious), but at the same time others have the right to expect I live my commitments as vowed. To some extent there must be trust that the individual will do this without external prompting, but there will also need to be trust that the relationships constituting " the ministry of authority" in supervising, or otherwise working with the individual are serving both individual and church as they ought. Let me be clear, the very fact that there is a structure of authority contributing to the individual's integrity and providing ongoing assistance and support, itself witnesses to the fact that others have the right to expect this vocation will be well-lived. If there are real questions about this occurring in a given case, then one has a right to bring those questions first to the person and then to those who are themselves responsible via the ministry of authority. This does not mean one can intrude on the person's privacy, but one does have a right to have serious concerns heard and responded to.
So what concrete expectations do folks have a right to hold in my regard, for instance? Those who know me have a right to expect to see the fruits of a life of prayer, penance, and the silence of solitude in a fairly direct way. If they see me struggling in some way, they have the right to expect me to get the kind of help that assists in this struggle (say, for instance, medical help, financial assistance, or spiritual direction) --- or to accept reasonable assistance from them if they offer it. They have a right to see me living an essentially healthy life in conditions that are wholesome, no matter how spartan; they have a right to see that I am growing in my life with Christ and to some extent to benefit from that life in a more direct than indirect way. (In this regard I am thinking of doing homilies or reflections, leading Communion services, teaching Scripture, and doing spiritual direction, as well as writing or blogging; other c 603 hermits will specify different ways of directly benefiting their communities). Generally speaking people do not have the right to enter my hermitage or check out how I live my life, but they have every right to see evidence of the kind of life only the love of God makes possible, and to get hope from the Gospel my life witnesses to. They have the right to expect and see a life motivated by love --- genuine, passionate, and chaste love --- and thus too, a life lived simply with a strong sense of what is truly central and essential for every human being. They have a right to expect professional competence and a generous sharing of that and whatever else I have to share within the limitations of eremitical life. (Remember, eremitical life will often mean letting go of discrete gifts and talents for the sake of the vocation itself.)
I have probably left some things out, especially in the sections on rights or obligations, but I think I have gotten the essentials. (I'll add to this piece if other things come to mind!) I am used to saying here that the term Catholic Hermit means one whose public vocation means they live eremitical life in the name of the Church. At this point I should also suggest that a Catholic Hermit is accountable in a catholic way through the structures of authority which ensure both freedom and responsibility. Thanks again for this question. As always, if this raises more questions or omits something you believe is important, please get back to me!
*** Turns out I have written about this before, once only a couple of years ago. Please see, Rights and Obligations Associated with C 603 Vocations, and labels associated with that post,