Ok. Well I think my general advice to you would be not to get involved in this argument if if doesn't mean that much to you, as it means a lot to the people involved in it.
Just for reference, I wrote a whole masters dissertation from the trans rights perspective about 15 years ago (I can DM it to you if you don't believe me). I thought that second wave feminism was being abusive and reductive and regressive and etc etc etc to be so exclusionary, to think sexed bodies matter, to think there was anything inherent in traditionally gendered behaviour that couldn't be ironed out by better social environments. I thought that women and trans people were natural allies against the patriarchy. I researched this, weighed it up, and really believed it. I didn't start from a fixed position either, it was a genuine exploration.
Since then, a few things have happened to me. I have got pregnant and given birth, twice, to girls. This is NOT intended as some sort of cruel gotcha re your fertility struggles, I'm just telling you that the experience of that has given me a whole new understanding of the ways in which my sex has shaped me and my experience of the world, and a whole new appreciation of the struggles my daughters will face as female people.
And I have watched a movement that 15 years ago was very much on the fringes gain in voice and strength, initially with approval and encouragement, then with growing confusion, and now finally with outright concern as to the direction of travel and the tactics of the main players. I still believe being trans is a "real thing", and living in a culture prejudiced against trans people, where rigid gender roles are still enforced, causes trans people huge psychological and practical harm and distress. I still think trans people deserve equal human rights and to be treated in a manner which respects their human dignity. But I am also far more alert to the concerns about where rights conflict, and where changes to make things better for trans people may make things worse for women, who are not whichever way you slice it the powerful ones in this equation. I am very concerned by a general tone in the discourse which treats any attempt to balance these questions as unsayable, as hate crimes. Where someone can write an open letter as careful and compassionate and nuanced and vulnerable as the one JK Rowling wrote, and be vilified as the Wicked Witch of the West by thousands. Where #nodebate is considered an acceptable position full stop, whether countering a three-page argument from a professor of gender studies or an abusive "man in a dress" slur from an anonymous twitter poster, with no distinction.
I have literally never found myself on the "wrong side" of the left, liberal, radical frontier before. I am deeply uncomfortable here, and I do frequently interrogate myself to make sure I am not just becoming conservative in my old age (nearly 40). But then there are issues like the shaming of lesbians fof imposing s "cotton ceiling" on trans women, or the safety of women prisoners where it is just so utterly, brain meltingly obvious to me that mixed sex provision is not appropriate that I can't put away my reservations, I have to keep thinking about it, I have to keep questioning the direction of travel, and most of all question the validity of an ideology/position that reserves an exclusive right to be unquestioned, a right no other movement has ever claimed in the entire history of civil rights movements.
Phew. Longer than I intended (as you can probably see I still struggle with this stuff and tie myself in knots with it trying to be even handed. It's so much easier to just pick a side and stick to it come what may).