Well it seems you're trying to get to know this girl more on a romantic level? Keep it simple, try to find an activity that will give plenty of time for talking and getting to know each other. Maybe just grab a coffee with her if that's your thing. If you're a bit more musical, go to a local music show. Think of places you would feel comfortable in that will give room for discussion.
I don't think this is commonly said at all. I think the only people who would react to gamers in that way would probably be the older generation. Just keep being yourself and whatnot, it'll eventually die out with the new generations.