Background:
I'm a college student currently at home on summer vacation. A few weeks before I left school, I was approached by a girl who knew me through a mutual friend. She suggested we hang out and we spent most of the next few weeks spending most of our free time together, often into the dawn hours. There were obvious signs of interest on her part, especially looking back (the fact that she approached first, flirting, suggesting that I sing for her when she found out I'm learning guitar, etc...)
Over these few weeks, she began to open up about her suffering from OCD/severe anxiety, going as far as to share what her particular obsessive thoughts revolve around.
About a month ago, I drove back to my college town to hang out with her. She seemed excited to see me, even going as far as taking off work last minute so she wouldn't have to leave as early. Things were going great, but by the time it came for me to leave she began to have a panic attack and I didn't handle it as well as I have in the past (I called and apologized later for how I acted). She asked for some time and space and she muttered under her breath that she had "sabotaged herself again." From what I've researched, people with anxiety will often push others away even if they care about that person. I'm not sure if that's the case here, but it would make sense since this situation unfolded as fast as it did.
Since then she has reached out several times and we've talked. She seems to be doing better and seems to be excited at the prospect of me moving back in a month.
Question
I care about her, at least on a platonic level, and I want to try to date her. How to communicate to her I'd like to get to know her more without triggering her anxiety? I fear that if I take things too slowly and wait to ask her out for too long, I would project disinterest, which obviously isn't the case. On the other hand, I fear that if I move too fast I will make her uncomfortable and scare her away.