Washu,

I have been a liberal Catholic since my college years in
Catholic seminaries in the mid-60s, during the 2nd Vatican
Council. (I did not go on to ordination.) But as for "offshoot"
churches, I do know of the Congregational Catholic Church.
One of their priests, Rev. Dr. Jerry Maneker, writes and
speaks passionately on behalf of LGBT Catholics, so I know
this church is a welcoming one. There is also an organization
of LGBT Catholics called DignityUSA. Some members of this
group are still in the Catholic Church, some are not. But
they are a very active group nationwide, with chapters in
many cities. They also have national publications and online
discussion groups. It's true that they started as an organi-
zation for Gays and Lesbians, but they have opened up in re-
cent years and do include transgender people as well as
"straight" allies. Last spring they devoted their entire quarterly
newsletter to "Transgender Lives." I would say that thru them
you could also find out more about other liberal Catholic groups,
such as Call to Action and Roman Catholic Womenpriests.
On the question of whether someone who has a relationship
with God/Jesus needs a church, different people have different
opinions. Personally, it has always helped me because I have
had access to the teaching (not all of which I agree with any-
more, of course!) and the community aspect of the church,
where one gets to know people with the same basic beliefs,
as well as to participate in prayer with others. My situation
is that because of seriously limited strength and energy, I'm
not able to get out much, and I do rely on various kinds of
help available thru my parish church. Otherwise, I might have
started several years ago to visit other denominations. If I
found that there was not a Congregational Catholic or some
other welcoming Catholic church in my area, I would probably,
as Donna C has said, look into the Episcopal Church.
So at this time, this is about all I know of to tell you. I hope
you find this information helpful.
Cheers,

Sandra