While I am neither LGBT nor abortion-minded, I found that Catholic Charities employs counselors and students from all walks of life, and not all of them are Catholic. Also, Catholic Charities serves everyone in the community, no matter what their faith or race or sexual preference. They are notable for their service to the refugee population, many of whom are Muslim. So I would say that you do them a disservice if you think that their counselors will argue with you over these issues, rather than supporting and respecting you as a person with things to work out.