I'm not sure how convincing you have to be, bearing in mind that most people will want to believe that it was the man, not the woman, at fault - including the police and medical services.
I do believe women are more sensitive to emotional feelings than men are, and that they are better able to express themselves. Perhaps someone knows the facts for certain, or can do the research to answer the point precisely. But if a female abuser is intent on putting the blame on to her victim, she doesn't need to injure herself, she can claim mental torture ...
I also believe that, although physical injuries can also cause mental ones, they far more frequently don't. I have suffered many physical injuries, but I don't think any of them was accompanied by mental ones. Again, someone might like to dig up the facts and figures on this.