How is taking her rightful place as a citizen of her country in a political discussion on social media pushing for anti-trans policies?

Further, the OP has a point. Some of these transwomen are not acting like women, regardless of how they define themselves. They're acting like enraged, testosterone fueled men.

Death threats? Bomb threats? And particularly rape threats? My way or I turn to violence and destruction. That's something men do. Not women.

I've got nothing against rights and protection for all persons, transpersons included. But you don't get to usurp someone else's to promote yourself without a good discussion amongst everyone about it beforehand. Particularly when the protections of the group you would be taking from are still needed.