If she has all those "mental health diagnosis", they might want to focus on one or two at a time. I suspect that helping her on one would help on the others because some of the diagnostic chategories seem rather artificial to me. I know that it is hard to get in to see a psychiatrist if your are low-income. They tend to have a larger amount of people wanting their services. Does she have an individual T rather than just a psychiatrist? I find that psychiatrist can't do talk therapy or atleast the two that I have had so far couldn't.
How well is the group therapy targeted to her situation? I think that she could probably get some benefit out of it if it is well targeted and she can get comfortable sharing with the others. However, this can be hard for someone to do especially when you add the gay part. I think Texas is in the "Bible belt." For you non-Americans, I mean that Texas is a pretty conservative state and probably is more likely to run into anti-gay views. I am not sure on this but the state is very conservative on the death penalty and some of their other laws. This might make it even harder for her to share with a group in group therapy. However, I would hope that the T would keep the group members respectfull of the lifestyles of the other members. It sounds like you have been trying to help her. All you can do is to try to connect her with whatever options you know of, encourage her to ask her psychiatrist for a referral to any other resources that he/she thinks she can use and be a good listener for her.