The whole idea of mixing anatomy and psychology is silly, and, frankly, bad for society.  One cannot feel like a man or a woman unless one has been led to believe by environmental influence of some sort that a woman or man feels a certain way.  

With respect to homosexuality, all people have the capacity to love people of both sexes, and even sexual attraction is a learned trait, again, influenced by environmental factors.

For thousands of years civilizations have handled the difference between men and women as primarily and anatomical/physiological  condition, thus males and females have formed pairs as the de-facto pairing that procreation capacity dictates is correct.  All other aspects of male-female identity and relationships are matter of environmental influence, learned behavior, notwithstanding the denials of some that they were "born that way." 

As my mom used to say, everyone of us has their match, the effeminate male is able to find a compatible female to love, etc...