Most Helpful Girl
Sounds like she's interested in you, either non-platonically or as a friend. It can't hurt to start talking to her a bit and see where it goes from there. Realistically keep in mind that she may just be interested in having a friendship with you.
Also, age and how attractive you perceive yourself to be sometimes have nothing to do with how attracted someone is to you. I've been with a guy significantly older than me before. I wouldn't even say he was the best looking guy in the world. But really I didn't care because there was no one else I'd rather talk to at the end of the day and emotional attraction makes physical attraction stronger.