Trans rights are important. No one should be discriminated against if they choose not to follow the sexist stereotypes that are culturally linked to their birth sex. Protection from discrimination is already law and enfirced well. Trans rights do not yet, and should not, include the right to control other people's speech and beliefs. This is an additional right that some TRAs are campaigning for but it is not a view held by all trans people. This would be equivalent to muslim people campaigning for it to be illegal to say that one doesn't believe in Allah. It is not a reasonable position and it is right to campaign against it.
Women's rights are also important. Because of ongoing cultural domination by males in almost every sphere of influence as well as the natural increased strength and speed of male physiology it is right for women to have protected spaces and opportunities that are just for women and male people should not be able to crowbar into those by simply declaring that they are a woman. That is their belief, but no one else is obliged to share that belief and one male present makes it a mixed-sex environment that instantly puts all the women there at a disadvantage whether they share that belief system or not.
The numbers are small but they do make a huge difference.
It is not hatred to point out the problems and the reason you see it more here than anywhere else is that most other forums are censored to eliminate disagreement with TRA thought control.
There are lots of examples of women being disadvantaged by these policies. You would have to be willfully ignoring them to not be aware of the problems in sports, prisons, the regulations for who gets to stripsearch who if you are arrested by police, access to women only gym or yoga sessions, or rape crisis support groups, domestic violence shelters, nominations lists for women of the year in various fields etc etc. Just because it doesn't affect you directly is not a reason to suppose it's not happening or isn't important.