I can tell you for a fact that Fife NHS does acquiesce to requests for women docs.
My GP requested a female gynae for me...I was on a 2 wk pathway...but was then told it would be at least 16 wks cos I'm post-meno and might be longer because I wanted a woman doctor. (In the end it was just under the 16 wks.)
I was then referred for a minor op. Got a worried phone call from a secretary after I got my letter referring me to a male. She'd missed the note. (My GP told them I had vaginismus. Sorry - TMI? I'm also in my 60s and have never had kids, so...)
I told her that I'd see a man if it meant being seen sooner.
As it happens, the rest of the team in theatre was all female. The gynae was lovely. Older chap. Very kind. I explained the trauma that had led to the vaginismus. Was actually a positive experience.
If I'd seen Upton or any other man in there pretending to be a woman, I'd have run a mile. Why? I refuse to be examined by a male doctor who pretends to be able to understand what it is to be a woman. If he's that demented, he can't be trusted.