Up until about ten years ago, there were no female gynecologists in my area. For decades, we had no choice but to use a man.
When he, (my current doctor) or any other doctor that I have seen, is performing an exam, there is always, WITHOUT fail, a female nurse in the room standing by his side. I'm sure that this would be the same procedure with a female proctologist and her male patient.
Now that I have a choice between a male and female doctor, I am content to keep the male. I have seen more than a few over the years, and the one that I see now is HIGHLY respectful of me and my opinions and listens to me as if I am the only patient for the day. Have we disagreed on things? Yes. Is it still embarrassing to see him after all these years? Yes. It would be uncomfortable and embarrassing if it were a female doctor or a robot doctor or even a doctor who was a clone of myself!
But he is a Christian man who respects his field and his patients.
I think that each person has the right to make that decision for him or herself about which doctor that they see.