I think that you should let her be angry and hope that she calms down. You need your independance and you need to be able to learn how to live on your own. Maybe you could agree on some sort of compromise with your Mum, like you come back and live at the house on weekends, or that you move in with another Muslim girl with the same background as you? Or maybe you could move into a flat which isn't that far away, so that your parents could easily come round when they liked.
Either way, I think it's important that you learn to be independant. Telling your parents is the hardest bit. Hopefully they will calm down, but you need to be firm with them, and then maybe suggest a compromise which will placate them a little bit.
Good luck!