Im male but I dont see why any girl wouldnt unless they're a feminazi or something. I mean i dont think the game is demeaning to women, and im a particularly sensative guy too, not a bonehead in that department. Supposedly this game does distasteful stuff later on with one particular boss, but thats just one boss and i havent seen it yet. The cord goddess cgs at the star would also be feminazi fuel but i think thats more a gag on the anime industry and... That sorta thing, not an actual dIsrespect thing to the girls involved.
Just be aware that this series doesnt have a deep story, but yet its story heavy at the same time. Basically its about enjoying the characters and their behaviour and attitude than traditional rpg story draws. I think that anybody who can enjoy a fictional character relatively easily should enjoy the series, the cast is really loveable for the most part, regardless of gender or sexual orientation.
I myself just love nepgear's goody goody attitude. I mean goody two shoes characters are normally pretty. Kring and predictable but she's done right, i especially love her "what the goodness!"s.