Well, some of the conservative Americans I know are very anti-trans, and I'm using that term deliberately, because they are not 'Gender Critical' and certainly not feminists, they simply believe men are supposed to be one thing, and women are supposed to be something else, and they put trans on the same level of wicked disobedience as women preaching in church. Which is really not great at all.
I do know plenty of Christians who are pro women and their concerns about this are based in safeguarding, child welfare and compassion for women, and they are variously Catholic, Baptist, CofE and Evangelical. But the nuance of finding, say, a pro LGB Christian who is feminist about the topics which trans issues encroach on? Rare as hens teeth, annoyingly enough.