I confess my ignorance.
But, aren’t there differences between a vagina of a woman who was born female, and has always been female, vs. a “woman” who was born male, and has had an incision of some sort made in his body, which is his “vagina”?
That is why the gynecologist told the trans-identifying man he didn’t have the training or knowledge to treat him. He could give him the names of doctors who could treat him. I’m guessing he didn’t say he could refer him to gynecologists who could treat him. Probably suggested “gender affirming” doctors. That was too much reality for the wannabe patient to deal with.