I need help .-.
This girl I like - and whom I think may like me back - said she wanted to hang out with me. We tossed around ideas and eventually she suggested we play videogames, I guess because she knows that I do. She mentioned that she's played Uncharted 3 before.
Anyways, I sent her a text earlier when she asked me what I was doing, saying that I had just forced someone to his knees and cut off his head with two swords. After I told her it was Skyrim, she said "we're playing that".
Well...after my nerdgasm subsided, I started to freak out. Even though this won't *technically* be a date, it sure will feel like one, and I want us to have a good time. Trouble is, Skyrim is a single-player game.
Question: Is Skyrim a good date/sort-of-date game to play with a girl? If so, how should I go about it? How could I make it fun and flirtatious without boring her?
If the above is not possible, what sort of games should I try instead? She mentioned Mario Kart and Call of Duty, and I suppose both of those would work, but they're competitive and I have no idea what her gaming aptitude is. I think it'd get boring if she started losing over and over...but I dunno.
So. Please. Help me. I'M BEGGING YOU!
Edit: Wow, thanks for all of the replies!
This advice was kind of given pretty early on, but I'll reiterate.
She doesn't give a damn what you two do. In fact, there is every chance that she thinks that the very idea of playing video games is repugnant, but she wants to hang out with you THAT MUCH that she's willing to do it.
She wants to spend time with you. Let it happen

. Be yourself.
Here's the important bit: take an interest in her. For her, it won't necessarily be about playing the game, but spending time with you. Girls are weird. It will be more about doing an activity where she can develop the relationship with you rather than doing the activity itself. So talk to her, laugh, don't just settle into a Skyrim play session. Take a break from the game. Just chat about nothing.
Oh, and take the initiative a little. Be responsive to her hints and body language.