As a genderqueer cis-ish woman (it's complicated), anything that hurts trans women hurts me. Any right people want to deny to trans women is a right that now can be refused to me also.
If there is a standard for who is and isn't a woman in the "right" way that determines how you are allowed to interact with the world, then women don't have rights. We have obligations. We have to earn our participation in the world. We have to prove we are deserving of it by the degree of our femininity.