I'm pretty sure that you could state that due to your beliefs, you need to be examined by someone who is a woman by sex. I think I got that right. It's gender that many believe is a social construct.
I honestly can't imagine for example, a Muslim woman, especially a very devout one who has her partner accompanying her for medical examinations, would ever be allowed someone who has a penis but identifies as a woman, to perform an intimate check on her. I'm not 100% sure, but I believe there to be religion based issues.
So I can't see why it would be different for anyone else. Just like Catholics in the medical field can say I refuse to treat women seeking abortions on religious grounds.
I can see why you would be worried, but I don't think gynaecologists go in for the job because they get to stare at vagina's all day. My experience in gynaecology, it's rare they insist on vaginal examinations, unless your issue is based in that area, such as prolapse or vaginal irritation where you get pain internally and externally if that makes sense.
Those vulnerable, such as rape victims, domestic violence victims, usually jobs have the right to specify who they employ. Any charity, organisation or professional body, will recognise that this could be harmful and put measures in place.
Although as someone with gynae issues, at times I'm in so much pain I don't care who is down there, as long as they can sort the issue. I also want to highlight I can see that some women just wouldn't want a man doing such things, just as a preference, with no underlying background trauma. What's to say your doctor, gynaecologist, nurse or sonographer born female, isn't sexually attracted to women. Surely if that's the reason why you'd want a female to examine you, it's flawed.
I totally understand why it's a definite no if you've been a victim of something where you NEED a female to examine you. I don't get the argument if it's merely a preference, where you've not got those issues and it isn't a theological issue.
I'm sorry if I sound ignorant, please educate me as to what I'm missing.
You think about GU clinics, all the vaginas they deal with in a day, it's not the most glamorous of jobs. I'm talking STI specialist centres.