Attachment (& Fear of Abandonment? )

If any of you deal with attachment or fear of abandonment, I would like your advice on how to stop it from ruining your chance at romantic relationships. There's a girl that I've been on a few dates with and I really like her but at the beginning of the semester she told me she couldn't date right now due to health issues. I get attached to people sooo easily, whether it be romantic or platonic friendships. She knows how I feel and says her health situation has improved now. Should I try asking her out again or leave it be :(