Leaving the topic of whether women have it easier or not (the answer is, we don't... After all, we have to deal with a ton of judgment from people because of how we look, and let's not get started with the topic of sexual harassment), there's the thing about the author not feeling lustful.
Libido can come and go, and that's perfectly okay. I think that him rather than being trans, he's probably asexual to a degree, and the issue with that is that when you don't really know what it entails, or that it even exists, you always feel there's "something wrong with you" and you can be very harsh on yourself for not conforming to what society expects.