Is it an option to just be friends for now and get to know eachother slowly? I agree that it's not a good idea to get too close right now, as far as a romantic relationship. You have to take care of yourself first and foremost. It sounds like you are feeling very vulnerable right now, and speaking from experience, that can be a recipe for disaster.
Still, I understand your not wanting to lose her. I think a casual friendship might be a good idea, just go at your own pace. Some of the best relationships start out as supportive friendships.
Whatever you decide to do, I wish you the best!
Sujin