You mean the OP's daughter's GC views?
I guess she got them the same way I got mine: by being the kind of person who takes a deep interest in people and ideas and society, and noticing that for some reason a set of ideas around human sex, and specifically the insistence that people can change their sex, started getting a lot of unexpected and disproportionate traction some years back.
Anything out of the ordinary like that prompts the likes of me, and possibly the OP's daughter, to find out what's going on and why and then to make a rational decision about whether it feels like a good idea or not, from various points of view, including what impact it has on me, as a woman and as a lesbian.
So after lots of research, looking at history and science and biology and human rights and legislation and so on, taking great care to refer to sources that are responsible and verifiable, I decided that the key concepts in transgenderism: that human sex is changeable, and/or that some people have an inherent 'soul' that in some way is different from their material being, don't hold up when looked at objectively.
The social group 'women' has been, across cultures and millennia, defined by being biologically female, so the claim that it should include biological males who say they are women, 'TWAW', is as illogical as it is sexist.
I noted that all these unconvincing ideas were often expressed in ways that were ahistorical [like rewriting lesbian and gay history e.g the Stonewall Riots] and unfair [like denying groups like women, or lesbian and gay people, the right to self-definition and self-determination - 'TWAW' and 'No L&G without the T'.
I also noted a high level of aggression, threats of violence including rape and death, physical intimidation, and sometimes actual violence, not as a last resort when decades or even centuries of peaceful and legal methods have been tried and have failed, but as a first resort.
These are not associated with any reasonable, pro-social human rights movement I know of - especially the early deployment of threats and violence.
I can't speak for the OP's daughter, but it was through that sort of research, thought, analysis, etc. that I got my 'gender critical views'.