If she filed a civil complaint, yes.
The criminal matter is controlled by the state, and ultimately it is the Commonwealth of Mass and its prosecuting attorney who decide what happens to it
Attorney Brown is correct, in a criminal case, the decision whether or not to proceed is in the hands of the prosecutor, not the alleged victim. However, if there are no other witnesses to the alleged assault and battery, then the DA will need the alleged victim's testimony to proceed against you at trial. If she does not show up, and the DA knows that she is not on board with the prosecution, the matter is usually dismissed on the day of trial. Good luck.
Unfortunately,the woman's position, while significant, is not controlling. DA's are doing all they can to prosecute these type of charges, even without the assistance or cooperation of the alleged victim. I know of one court where they are using the recorded telephone call from the woman as evidence if the woman will not testify. In your case, the woman is not your wife so the court can actually order her to testify and issue a bench warrant to have the police to get her and bring her into court. The best thing that you can do is hire a good criminal defense attorney. You only have one chance to get this right and if it isn't handled correctly, you could end up with a criminal charge on your record that will make life very difficult for you. If you need experienced counsel and are relatively local, call me at the number below or contact me through my website, also listed below. Good luck. You have rights and you must have a good defense attorney protect and enforce those rights to come out of this where you should.