I'm very interested in what leads trans woman to conclude they are women, or to want to claim they are.
FWIW I am sure there are many reasons.
The male/female sexual split, and on top of it the cultural split, is so deeply baked into our psyche and culture that it's going to turn up as a human subconscious vehicle /metaphor/ expression / shorthand all over the place. Some expressions of male "womanhood" are just misguided and unwittingly misogynistic. Some are malicious and deliberately, knowingly, gleefully and wholeheartedly misogynistic.
I don't think trans women are women, or sort-of-women, or anything that gives them more claim to women-only resources or the female political voice than any other male. So I don't think whatever problems their trans identity brings them are women's problem to solve.
Hiwever I do think they are society's problem to solve and society includes women. I think some women being prepared to solve it with them will bring benefits to women as well if it's done the right way.
Crucially, that does not mean a solution of "middle ground" where women give up a bit so trans identifying male people can take a bit. That's not a solution, that's just baking in the incorrect association between these male people and womanhood.
What is should mean is understanding what real feelings and beliefs and experiences this "womanhood" is being a metaphor for, and understanding how society should handle that. Sometimea the solution might be to acknowledge and support something as valid and valued in men. Sometimes it might be to allow more men to express fear and find new ways to make people feel physically safe. It might be to open up social and even sexual roles that men feel they can't express. Sometimes it will mean recognising a malignant aspect and criminalising or otherwise controlling it. But above all, it will mean seeing what's really there behind this mask they want to wear of "woman".
The benefit to women is that untangling these cultural meanings loaded onto womanhood frees us from them as well. And that's why we need to be part of it, to make sure we are there to say "this idea of womanhood isn't true, you'll need to dig deeper" and to help shape solutions that move us away from genderised personalities not deeper into them.