Women in prisons are a minority. Women who have experienced trauma at the hands of men are (just about) a minority. Women in professional sport are a minority. Women whose religion forbids them to share single sex spaces with men are a minority. Women in refuges are a minority. Women who don’t want to get undressed in front of their male colleagues are a minority. Men, on the other hand, are not a minority, irrespective of how they choose to present themselves.
Feminism requires that you centre women. If you are teaching your daughters that men should also be centred in their feminism and that there’s nothing to worry about so they should just shut up, budge over and be kind, you are doing them a grave disservice. For their sake, I hope they never discover just how much of a disservice.
Also, it’s got sod all to do with a hatred of trans people. Shame on you for very clearly not reading what JKR wrote in one of her first written pieces on the subject. As TRAs are so keen on pointing out, trans people have existed for a very long time and it has been women who have so often been their biggest champions and protectors. But if you can’t see that in order for transwomen to have all the rights some of them are demanding, women have to completely give up their hard won rights to single sex spaces. Rights that our sex fought a battle for. There is a conflict. That might not bother you, but it bothers enough women that a line has been drawn.