It depends.

- If we disagree on political views or similar, it should not become the focus of our session. And if I were to talk about an upsetting fight with my mother about, or fuelled by, our political difference, he/she would need to be able to focus on my feelings and the fight, not on the politics.
- If I tell him/her not to do something or go on about something/focus on something, he/she should drop it.
- It probably sounds silly, but I need the therapist to verbally accept my point of view even if we disagree. For example, saying "You have a point" or "I hadn't looked at it that way" instead of fighting me. It would stop the argument and would leave me feeling heard.

Of course, I won't see everyone. For example if a T doesn't believe me because my symptoms or experiences are uncommon, I would get out.
Also, I don't have, and have never had, sexual or romantic feelings towards anyone, which might have been because of outside factors or it might be asexuality. If a T were to not believe in asexuality as a sexual orientation, or were to discount all other causes (the 'outside factors') I would probably not be able to work with him/her.
I don't think I would be able to work with a therapist that is too naive and blind to the fact that there are dangerous people out there and that you can get hurt. He/she wouldn't need to fear for them, just accept it.
If a therapist worked and thought from a modality I don't agree with, e.g. Freud's "everything is about sex" thingy, I'd run.