Bentay, sorry you had bad experiences with your therapist. Obviously you have to make this decision (given other factors that are important) but in my view I would consider switching therapists (in addition to raising concern of course). I had a somewhat similar experience years ago and just switched (I also had social anxiety and was afraid of raising concern and what it would mean or if I had to confront anybody, funny how things work, going for social anxiety and then that happens, lol).

This person doesn't seem to be as sensitive or respectful as one would expect of therapists. Religion, politics, culture, sexuality, those are things that even non-therapists know to approach carefully and respectfully. They involve people's identities and beliefs and to question them or approach them carelessly is like you're invalidating people or expressing your own bigotry. If a therapist is unable to do so or if a therapist is narrow-minded to the extent of judging you for your religion or sex or politics or whatever, they really should not be a therapist.

Whether you're Chinese and being questioned about actions of communists or you're Jewish and being questions about Israeli actions or you're Muslim and being questioned about some extremist group, it is very hard not to feel judged. Especially when it happens in the first few sessions.

Perhaps this is about self-awareness (and if you are not aware that your fly is open...) and about self control (if she not gonna be as a good your last therapist, maybe that's HER fear?), both of which are very important part of being a therapist. I'm not saying she's a horrible person (of course I don't know her and hard to tell based on only a post) but I feel like you have enough reasons to want to see what other options you have. It's so important to feel at ease and comfortable around your therapist. You're about to share private things and let yourself be guided by this person. So makes sense to be more careful. Okay, so good luck.