At the time of my writing this, 15 out of 67 votes have been cast in the categories of "this would affect my decision", to which I have to ask- what kind of games are you people playing? Pulling a trigger, swinging a sword, piloting a starship, exploring a wilderness, hacking a computer, commanding an army, pushing buttons and flipping levers- these are all things you do with your hands, eyes, brain, and tongue. If you've managed to figure out a way to them with your genitals, I suppose that might be worth seeing, but that's going to be true regardless of their configuration. In all but the most character-driven games (and, I suppose, the dating sims and porn games), the only thing that changing gender is going to actually make different is what outfits you can wear and who flirts with you. And how many deeply character-driven games are we seeing these days, when it seems like every developer has decided to make their main characters absolute blank slates that almost never so much as speak, the better for you to be able to relate to them (because that's how we all react to new and terrifying situations, right? Refuse to talk, even when directly asked a question by a friend, and slaughter everything that looks unfamiliar?)?
That said, character-driven games are character-driven (who says I'm afraid of controversy?), and changing biological character traits (unless it's part of the story) is inevitably going to come across as a slap to the face to fans of the games- above and beyond the "We're desperate and absolutely out of new ideas" message it sends. So while I'd find it a red flag, it's not a deal-breaker in and of itself.
But for pity's sake, if you want more characters of a specific race/sex/whatever configuration, make up some new ones! If enough people do, the industry might go back to thinking characters with actual character are cool again.