The OP mentioned 'GC views, and it was almost immediately transformed into 'being obsessed' - which kind-of proves the point! Views or opinions are not obsessions; even if you disagree with it, being gender critical is a logical and rational position to take; and saying it's right-wing, hateful or phobic is just silly name-calling.
The fact is that for a lot of complex reasons - future sociologists will have a field-day with the first quarter of the 21st century! - a set of beliefs about human sexuality, i.e. that it is a spectrum rather than a binary, that people can change their sex, and there is an inherent 'soul' that can be at odds with one's biological sex, took hold across a wide swathe of institutions in a [limited] number of societies around the world.
Somehow [happy hunting, future sociologists!] these beliefs influenced just about every facet of society: schools, universities, medicine, language, the law, the arts. Anyone who disagreed with them or challenged them, no matter how mildly or rationally, was - as has been displayed on this thread - accused of being transphobic, hateful, and right-wing.
People have lost their jobs, been attacked verbally, been attacked physically, for raising concerns about these unscientific and unjustifiable beliefs having such a disproportionate influence on so many aspects of society.
If you can't acknowledge that, if you can't understand that that makes having GC views difficult, isolating, at at times dangerous, you haven't been paying attention, or have been seeing everything through a lens that filters out awkward things like scientific fact, the law, violence and threats of violence against women, and women's unwillingness to let go of our hard-won rights, including our right to our clearly-defined identity as women.
Sometimes standing up for your rights is difficult, as women are finding out in the current misogynistic zeitgeist, but the OP's daughter sticking to her GC views is honest and heartfelt and, importantly, based on reality. There's a lot to be said for that.