Am listening to "New Normal" from RadioLab...
It's the segment on Stu Rasmussen... mayor of Silverton, OR.
He prefers to dress as a woman, and has breast implants, long hair, etc...
He has had a girlfriend for 36 years.
And it seems that he prefers women. And there has not been a sex change operation.
So calling him a "faggot" would be incorrect. IMO anyway. Because it seems he still identifies as male and, as previously mentioned, still prefers women.
Which means he is NOT a homosexual. He's "just Stu"... although the cross dressing is definitely a different aspect of things.
"Transgender" is appropriate, though. At least according to the definitions I've seen of the word.