I look at it like this:
Many, possibly even most, people are not absolutely happy with the way they are. (Particularly in adolescence, most people are not all that happy with the way that the world is, either.) Many would like to be someone/something else, and feel in a vague way that if only they had (this or that attribute) they would then be happy -- this is wishful thinking but it is very common indeed. A bigger prick, a six-pack without exercising all the time, bigger/smaller boobs, a better shape of chin, longer legs, blue eyes, you name it, it would at a stroke solve their fifteen-year-old problems.
Not surprisingly, because it is, people who are most unhappy with or disoriented by puberty blame becoming a man or becoming a woman for all the hormonal chaos that is going on inside them. From there they decide that it's the become a man or becoming a woman that is causing their problems, not the becoming an adult.
Two generations now have had the possibility that if only they were the other sex then everything would be fine, and that this is something they can have, placed before them. Add general discontent and a vague feeling of the wrongness of how things are to the mix, and it's a pretty good recipe for a not-child not-yet-adult to fix on the thing which looks as if it might possibly be the root of their unique (no, really: they don't notice it is not just them, they are convinced nobody else ever suffered as they are suffering) troubles, and decide that if only they were the other sex everything in their world would be rosy.
It is a cruel con-trick, but they don't see that at the time.
Left to themselves, they are likely to realise in a couple of years that the other sex is no better off than theirs, and that each has its drawbacks as well as its advantages, but they are not left alone to work through adolescence: they are encouraged in all sorts of ways to take irrevocable action to change their gender and become sort-of-the-other-sex. Then they are bitter and unhappy because it hasn't solved anything, and then they lash out at anyone who seems to be casting doubt on their choice in any way, and claim that everything is All Their Fault.
Women do not at a rule rape or beat up or kill transwomen; it's men who do that. But it is a lot safer to blame and attack women for transwomen being raped or beaten up or killed than it is to attack men forit, so that's what is happening.