I think it depends on the T and whether they will let their own beliefs get in the way of their ability to help the client without judgment. Of the examples you gave, I think there might be some Ts who would have trouble with the religion issue. They shouldn't, but some might. (There was an interesting discussion in another forum recently about the reasons why a therapist might choose to advertise themselves as a Christian therapist. Did that mean they only wanted Christian clients?) Of all the examples you listed, the one that would be problematic for me is if the T were a white supremacist. I would not want to go to therapy with anyone who held those beliefs. That's a line I draw, a boundary I set. You get to decide what is acceptable to you, Solarwind. Hopefully your T is a professional and is able to treat diverse clients.