I actually think that there's also a possibility that she's also likely transmisogynistic. It's never directly stated HOW she feels about trans people and she might even view trans men as misguided women and trans women as a threat to her cause. A lot of her talking points about women are also the talking points used to force trans women out of women's spaces even though they are also very much impacted by misogyny, especially since they're viewed as an acceptable target of such by transmisogyny exempt people.

Dude I love love loveee where the story is heading.
I love how even in her flawed mentality Lisa is correct and the pope knows she is. She's fully justified in what she feels and doesn't have the patience nor hope left for the world to change on it's own.
But what she's doing is deeply misguided and fueled mainly by (justifiable) anger, in this persue of liberation for women she's leaving other marginalized groups behind based on their gender
(trans men, queer men, men who are poc or all of the above). Including allies to her cause.
Castings a new from of oppression or eradication, it wouldn't reach true equality or equilibrium but I think she knows this and just doesn't care. She's tired, discontent and that's such a natural feeling.
I've loved this series since it's first chapter, this love keeps growing more and more with each passing episode and with the current matter of oppression, gender issues and political violence especially with how the world is today it feels like such a necessary story. I hope it gets more popular.