Just give the person some space.
Hopefully, in time, the person will realise you are sorry and ye can be friends again

It might be hard but sometimes when your angry/upset with sometime, you just need to take some time out to calm down and think about it.
Hope everything turns out okay

I agree with Emily, trying to talk to someone right after you have made them angry is never a good idea.. they usually end up being irrational and let their anger cause them to say things they don't mean. Give her space and some time to cool down, after a while then try apologizing.. but sometimes it is best to let the person come to you first.

I know it's hard, but if you're already offered an apology there is nothing more you can do. Just wait for that person to cool off. It's up to him/her to accept you back in his/her life.

I know it is difficult, trust me.. I am always making the mistake of trying to talk things out before giving the other person time to cool down. If you try and talk to them before they are ready, then you will just make them more angry. Just be patient, it is the best thing you can do.

If the person does not want to talk to you because he or she is made there is not much more you can do. If could say sorry and do all you can but after that if he or she doesnt want to talk give them space and maybe after awhile they will accept you back

Patience is important. It depends on that person and what you did for how long you have to wait. It could be another hour, or another year. It may be never.

It's up to the person you made mad. If he/she feels it's best to let you go, then that's what has to happen. I'm just saying it's a possibility. Keep your hopes up though. It hasn't been too long, so there's a better chance your friend will forgive you.

Me and my best friend fought for two years and I wasn't this upset. And you're going on about two days?

Wow.

It seems like you consider this person a friend because it's deeply troubling you. However, if you don't mean as much to the person, he/she may not hurt like you do if you two were to sever communication.

the trick is space and patience