Well you don't mention what the fight was about.
Maybe she had a bad day, or was really stressed out, all of which can lead to displaced anger.
You say she won't let you back home, so I suppose it was somehting serious that happened. She might have calmed down, or it might take a day or two for her to do so.
Call her, apologize, and just communicate. Without that , neither of you will get anywhere.