I feel the need to help out my fellow makers of girl problem-related posts...

1. Sleeping with her (and not in the way chuddo means it) and sticking around the next morning > not sleeping with her and jetting before she wakes up. Waking up to an empty bed will make her feel like a whore even if you didn't [censored].
2. The massive awkwardness between you guys right now complicates things, to the point where it's gonna be really hard to pull off any other move than being direct and asking her out. So shrug aside the awkwardness for a moment and do it.