I'll chime in even though you're a packers fan.
J/K of course!
I have some good and bad news.
Bad news is that you friend has set her boundaries on where she wants this friendship to go. The tough part (which you've been doing so far) is accepting and respecting those boundaries. Maybe she really wants just a friend right now and doesn't want the stress (on top of being in college) of having a boyfriend. Maybe she is taking a break and working on herself. Whatever the reason, she has made it clear to you that she doesn't want to date. I would continue to respect her wishes and not be pushy about the situation (not to say you were). If it were the opposite way around, wouldn't you want that?
The good news though is that people can always change their minds about how they feel about someone and decide to pursue a relationship later.
Use this time to really get to know her and be a good/great friend. You'd be surprised how many times this has worked out for people who only want to start off as friends. 4 months is still really new so be patient.
If you want to stay close to her then you have to accept that for the time being you won't be boyfriend/girlfriend. The problem of course is knowing how long to wait, which unfortunately, only you can decide that. If it was meant to happen, then it will happen.