Sorry this is still going on ((jiakhan)) - it's helpful if you can look at this objectively and the role each of you plays in this friendship. I remember being your age and it felt like a big deal when I was having problems with a friend. In friendships there's usually one who has the upper hand and the other one is the follower or more passive one - when there's an argument the passive one is usually the one who has to beg and plead for forgiveness. This is when it starts to get unhealthy.

You apologized several times. If I were you I would email her a simple letter, that's basically says - I've apologized several times......I would still like to be friends and if you need space, I understand. I hope you feel better soon and I don't want to keep bohering you and instead will wait for when you're ready Good luck.