It is legitimate to refuse to treat him. Thisis a man we're talking about. His sex is the reason for treatment being refused.
The response to a Google review was unprofessional.
I think you're probably right that it's unprofessional for a doctor to respond to a Google review. But if that's the case then Google reviews for doctors should be banned, because people being able to post what they want with no right of reply seems unfair to the doctors. I'm not sure how we solve this, but that's probably a discussion for another thread.
Reduxx is a well researched site which covers the negative aspects of trans ideology with stories from all over the world.
Do you not think it may convey a certain slant on trans issues and what you are reading may be seen from a different, more objective and less inflammatory angle?
It exists to give much needed balance to most of the rest of the media, which is far too focused on being kind to men with a paraphilia.