I was on my way to class and I saw this chick that I thought was looking at me from a distant but anyways, and I had to walk past the cafeteria and she was on the table eating and talking to one of her friends and when I was walking past her I looked at her again (because I got social anxiety so I was making sure if they were actually looking at me) and when I looked at her my eyes went immediately to her eyes because she was looking at me when while I was walking I held it for like 4 seconds and then she started looking back and forth straight into my eyes the eye contact eventually broke when she was out of my straight line of sight
Long visual contact from a woman is a sure sign she is attracted to you, so if I were you, I'd at least make a point to ask for her name! When I found myself staring a guy down, I thought nothing was sexier than if he straight-up came forward and asked me "Hey, I noticed you taking a long, leisurely look at me, was there a reason for it, or were you just caught in space?"
Despite your social issues, it sounds like she is highly interested in you, that eye contact is her means of telling you to approach her. It may be difficult for you, but hopefully the knowlege that she is interested can be a source of reassurment.