Ancient Greece and Transsexualism

I know this is from a while back, but when I was reading the first couple of articles about the "Classical Medical Approaches to Gender, Sex, and Sexuality," I found it astonishing how these philosophers were describing the occurrence of transsexualism so casually. The idea that transsexuals would have existed even back then is pretty obvious, but I never realized or thought about it until now. With this in mind, I investigated a little further and found out that the ancient Greeks thought changing sexes/genders was close to a divine miracle. This was because the deities they worshiped had the abilities to change into other creatures, possess both male and female aspects at once, etc. If these immortal beings were capable of such feats, being able to do so as a mortal would be a high honor.

Another theory rather similar to what we learned from Galen and Huarte de San Juan, presented in the source I found, is that there is only one true gender on Earth: male. Heat can cause a female to become a male because her sex organs are just an inversion of a male's, but it won't happen the other way around because nature strives to become perfect with each change it makes. Even if these theorists made this phenomenon out to be a blessing, most common people of the era would consider it an abomination of sorts just out of pure instinct. Today, however, people are gradually accepting and even supporting transsexuals in their fight for recognition and rights, as seen in the Newsweek article we read about defining gender. My question is, why do you think the commoners of the time would abhor the occurrence if it could potentially bring them closer to the divine?

http://www.ftmaustralia.org/library/have-female-to-male-transsexuals-always-existed/devor-two