Everybody here is right. You game, you're a gamer. There do seem to be gamer snobs though, who don't consider you a gamer if you don't have good scores or whatever. Those people need to grow up. I mean, I've been told I'm not a real gamer because I play WoW, and then as soon as I bought Halo 3, the same people said, "NOW you're a gamer!"
I consider my mum a gamer. She plays Prince of Persia, WoW, House of the Dead, Dead Rising and a few others. If you love playing games, you're a gamer.
Yes, you read it right, I have a gamer mom.