I guess I'll try to give some specific things to keep in mind after all. Women are just people, they're all different like anyone else, and trying to use any collection of traits to describe them broadly will come up short. What might be valuable as something to build off of though, are what kind of struggles they have to go through societally.
A common issue that women have to deal with is being looked down upon for their womanhood. Women in positions of power often have to work far harder but get recognized for their achievements far less. Their opinion and thoughts and experiences are automatically seen as worth less, and they have to constantly fight that. And then there's all sorts of issues and societal expectations on how they have to deal with unwanted advances. Like, reject a man too softly and he'll keep pressing, too harshly and you'll get called a bitch, and he still might not stop. A male friend might come onto you with expectations and then get offended if you don't reciprocate. There's just so much fear that you're in danger around men, even those you think are your friends, so you don't go places alone, or if it's too dark, and you have to carry self defense tools, always feel like you have to be on guard, wary of any potential red flags, always putting up a strong front.
A woman in an important role like you describe might feel the need to hide or suppress their feminity in order to be respected, or feel safe.
Another thing is how women feeling sexual desire is portrayed. Women are often stuck in the idea that they don't want/like sex, or if they do they're a whore/slut/etc, and that's for some reason shamed, even though a man in a similar position wouldn't get a second glance. Which is another societal struggle women face. Also, it's a spectrum, not so black and white. I think that part of the problem is related to how women constantly feel like they're in danger, it means they tend to have more walls up when it comes to initiating sex, which leads to the perception that they're somehow less horny.