That's also a really wild thing to do, even if Fort Gay didn't exist. Worst-case, it's some teenager who thinks it's very funny to say the word "gay". Not worth a ban.
But it could just as well not even be a slur, if it was an actually gay person laying out their affiliation. Or if it was used with its original meaning of 'happy'.
And Xbox Live is a paid service. Not providing that service to someone who's paid for it, without an actual reason, that's just theft.