Early I'm sorry to hear you are a survivor, like so many women here.
Just mulling over your suggestion and potential solution for survivors who, unlike you, do not want a male-bodied person examining them in any circumstance-
You suggest:-
So if you specifically ask for a woman, and they say ‘we have Dr. Smith available and she is a trans woman, would this be ok or would you like to wait for Dr. Chris’ etc..
I think you'll find in the 'new world' it would not be considered appropriate for the clinical team to highlight to the patient that 'Dr Smith' is a 'transwoman' (muh rights) Therefore the female survivor would have no warning that Dr Smith is doing the procedure.
The female's right to informed consent is trumped by 'Dr Smith's' right to not have their sex revealed.
Because, in the new world order, Dr Smith is a woman. (And, according to many trans-rights activitists' definitions, also qualifies as an 'adult human female')
Because,in this whole fucking shitstorm, there seems to be a push to blur the boundaries of what we call 'female', 'male'
Even if the female patient on the table recognises immediately that 'Dr Smith' is not an adult human female like herself.
(Though in the new-world word-game, that means nothing, so our patient can't even describe why she felt uncomfortable with 'Dr Smith'. Because you have removed her agency to describe sex-based difference).