Her gender doesn't factor in all that much for me to tell you the truth. I write her as a wrestler with a caffeinated, childlike mentality. Same could be done with a guy, but I find it easier making Batti a woman because she has many mannerisms and tropes of women in anime. For some that could be seen as endearing, and familiar. Gives them a likable quality.
I have written from a woman's perspective in my work outside of WrestleZone, and for me it is difficult. Writing from any perspective not your own does that. To educate myself, I do read a lot of biographies, articles about women for women, books written by women, stories with female protagonists etc to try and get a feel for how it's done.
I'm not great at it admittedly, so I think giving advice is sort of pretentious, but if there was anything I could share from my experience with writing any sort of character is that you must familiarize yourself with how your character has been written before. We borrow from everything. If I created a dark broody monster character to RP, then I'd research monsters from cinema, horror novels, real life counterparts, etc. Same for a woman character. With Batti, they're into Japanese Pop Culture (at least a westernized version of it, called weeaboo), so I borrow from anime and how I know friends who are weeaboo act, but turned up to 11.
EDIT: In all honesty, her being a woman takes a backseat to her hyperactive personality, so I doubt any of this helps, but eh.