Does she really like me but is embarrassed?

Anonymous
A few months ago a girl in my class suddenly started talking to me. We kind of hit it off but both of us were too shy/scared to do anything about it. We talked about how silly it was and we eventually did something about it. However, she said that she just wants a friends with benefits deal. Part of that deal is that no one else finds out. And thats how it has been for months now. Things have been great and we have both said how we like each other and enjoy being together.. but she still doesn't want a relationship. From time to time she is paranoid that our classmates will find out what we are doing. She says its because she doesn't want people to get the wrong idea about us but I think she is embarrassed of me. Even her closest friends aren't aware of me. Possible reasons are that I am very overweight (but tall so its bad but not very bad) or that I am quite a bit older than her. Maybe something else.
Embarrassment and/or just not interested in me?
Does she really like me but is embarrassed?
2 Opinion