Mr. Google said:
I'm being very patient with her and it's hard to explain something over Xbox Live chat.
I tried getting my GF in to WoW. Because of the awesome new refer-a-friend or whatever system, it meant that we should spend the majory of our time in a group. So, I spent a month leading her by the nose to each quest zone, asking if she has the X number of enemy Y's skulls or breastplates or nosehairs or whatever, at which point she would say "oh I don't have that quest." When we got high enough, I would get to the point where I'd go "I'm busy now, you can go do something by yourself, you're alright!" at which point she would just sit in a city, jumping around and selling portals (she played a mage).
At this point, I realsied that although she did mildly enjoy the game, the only reason she stuck with it was she got attention out of me. This sounds similar to you; she can give or take the game, but she gets to talk to you from home. You get to play games, she gets your attention, everyone's happy!
While it did initally annoy me that my GF was tricking me to spend time with her, I didn't mind. I don't expect my partner to enjoy the same things as me. My partner and I should be the ying and the yang; opposites that complement and balance each other out as a whole. Also, when we spend time together in person, I get to stick my "ying" in her "yang"!