Most Helpful Guy
Sounds just like my situation, except I'm a guy. Personally, I feel like I want to be with her, show her I care. But if she's not ready for a relationship then in the end there's not going to be one. It just sucks finding someone your so compatible with and them not being able to commit. I can't truly answer this question because I am literally almost in the exact same position, met a girl in class, got her number talk frequently set up dates just to get canceled on or ignored. I'm starting to distant myself from her. All I can say is do what's best for yourself, no point to put all this effort and engery into something that you have little control over.
Most Helpful Girl
Tell HER how you're feeling. Don't pose it as any sort of ultimatum, but tell her you could just be her friend right now if that's what she needs. You can then explore the possibility of a relationship later, when things settle down. It's okay to say that you need more time with her if she wants to continue your relationship. If she's serious about you, she needs to make you a priority, otherwise she should let you go.
I think it's great that you're being so understanding of her situation, but you also need to think about yourself.