No, there are plenty of women who actively reinforce hierarchy over egalitarianism for the same reason men do. They want to feel special in comparison and in competition to other members of their perceived cohort. A woman might feel extra powerful from the idea she was disadvantaged and became an oppressor herself.

Or worse, she has the "temporarily embarrassed billionaire" or submissive perspective and reinforces the system at her own detriment because she doesn't want to stick out and is angered by others sticking out as it would invalidate any progress she has made under the current regime.