I do not understand why supporting the rights of women is deemed as hating trans people?
The true believers think (or have been told) that the concept of sex is outdated and offensive, and they want to replace it with gender identity in all legal and political contexts.
Some people are heavily invested in this career-wise. See e.g.
futureoflegalgender.kcl.ac.uk/
ABOUT THE PROJECT
What should gender’s future be? Should gender fade in significance, become a matter of personal choice, define new ways of living and being, or remain a category of domination and inequality? And what can law contribute to these changes?
Currently in Britain, we all bear a legal gender, starting with the sex we are registered as having at birth. But are there good reasons for retaining a system in which people are gendered in ways that carry formal legal status? What might change involve? And what are the implications, in terms of the challenges, risks and benefits, of radical reform? These questions form the basis for our three-year critical law reform project, begun in May 2018, and funded by the Economic and Social Research Council.
(We fund this guff!)