A gladiator is something in the mix of a slave fighter, and a "work for the daring", so you could do two things. One would be to simply put consider women equal to men, so you just have to put ifs or whatever it is that does it, to change the he and she in game, related to the player sex.
The other would be more close to the real thing, I guess, that would be placing the woman in lower status than the man, since that has been the main idea since long, long ago, especially for positions in power. You can name lots of emperors for sure, but what about empresses? You can name lots of famous leaders and soldiers, but what about female ones?
If you want my advice, play to the equality. Much more simple to write the story, and more time to focus in its quality, instead of doing one per sex, plus the changes the choices adds.
If you want to mix a bit, I think in Choice of Romance did this, where if you are a man, you rule and decide, and if you were a woman, you had it harder, but once married, you could influence your husband to rule in his shadow.
Plus, no one will likely speak bad of a female gladiator in her hearing range, unless its a person the gladiator wont be able to harm, in which case, he or she surely would have nasty comments about a male gladiator too. We like some reality in the stories we read, but we KNOW you didnt lived there, no need to split your head thinkin about every small detail. If you cant find info about something, guess. Or see how others authors tackled problems similar to yours.