I got into a drunken violent fight with my girlfriend, can I take legal action (she threw the first strike)?

My girlfriend and I just got into a drunken (borderline) fist fight about something I feel I'm in the right about. She threw the first 5/6 slaps (ouch - stingy!!! I've never been in a fight before!) before I threw a (feeble) punch at her. A few minutes later she bit my lip, making it bleed. Owwie. I thumped her in the gut, which didn't stop the bite then shoved her in the chest away from me with both hands in order to end the bite. And then I cried and left the room. lol. Can I claim any compensation for this seeing as the scuffle wasn't started by me and I was left worse off?? Or is that ridiculous? Before you hurl abuse at me for being a pussy, please bear in mind I am a girl.