I would say your chances of not being convicted on this one are just about zero. You should hire a specialist in the field of domestic violence who is accustomed to working with people who don't seem to get it. This may be your only chance.
This is a whole mess of trouble. The most important thing to do right now is get a copy of the police report and see a criminal defense attorney. Also your past record will factor into how much leniency you may be given. Other information is needed. How old are you? How old is she? What is your record? Feel free to consult with us on this matter. 203.870-6700