Just split the Game Awards into the Male Game Awards and the Female Game Awards. The thirty male jurors can vote for the Male Game Awards while the two female jurors can vote for the Female Game Awards.
In fact, it would be simpler on the female side since with two jurors, there wouldn't need to be any nominees. Just have each of the two jurors offer a winner for each category. I don't know how you would break ties if each juror decided to pick a different game for a single category. So maybe the original number of female jurors was correct, and there should just be the one-woman jury. This way you would not have to mess with ties or anything; you would just have a single legitimate opinion of the Best of the Best in video games as decided by female gamer(s) and for female gamers.
As for the Male Game Awards, you can probably just keep everything the way it is. It's all quite interchangeable, isn't it? Of course, why do you need a thirty-man jury to form a consensus when one or two jurors would do? Let's just choose two male representatives from the jury to decide the Male Game Awards. Oh, I forgot about ties and such. Actually, wouldn't it be cheaper and just as legitimate to have a guy (it could be Geoff Keighley, it could be Joel McHale, whoever just as long as he's qualified) go on youtube/twitch/twitter and say this is the GOTY, that is the best RPG, this has the best graphics, etc? One dude, one voice, one kickass GOTY (well, two if you include the other side, also)! C'mon, let's start handing out some awards.