After listening to the Witch Trials podcast, I've been trying to get my head in the space of trans activists. I am trying to see their point of view and find any common ground, in the spirit of checking your own beliefs.
So essentially what I can see is that it boils down to the use of language first and foremost.
If you say 'woman' and by that you mean 'feeling feminine, feeling that many female stereotypes are more your thing, rejecting masculine things', then feminists saying 'you're not a woman' WOULD be hurtful and also 'denying that you exist' right?
Because you are saying you're all of those things, and someone is telling you that you are not. And they're personal things that no one else can really see - so I understand how it would feel rude and invalidating for a feminist to tell you you're not experiencing them.
And if by identifying as a 'woman' (also read nonbinary, asexual etc) in this sense means that you feel you fit into the world better and feel more accepted generally because people make less stereotypical assumptions about you, then that would be helpful, right?
And if feminists say 'no you can't do that - because of biology you are not a woman' - that would feel reductive, and like you were being put back into the box you're trying to escape from I imagine.
The issue is that when each side uses 'woman' we mean entirely different things. Defining the language we're using in order to have a conversation is essential. We're talking at cross purposes.
And the other thing which is impossible to fix but which would help enormously is waving a magic wand and eradicating gender stereotypes. There's no need for 'gender' if you can present/dress/behave however you want regardless of sex.
That's my best understanding right now. I think feminist rhetoric does hurt trans feelings. The issue is that following trans ideology saves hurt feelings, but has far worse consequences for biological women. No one really wins here. That is unless society (patriarchy) miraculously becomes more accepting of gay, lesbian and gender nonconforming people.