No man, do not ever do that, except possibly if she is an aggressive stranger. If she is somebody in your life it is a test to see whether she can make you lose control. A much more effective way to deal with it would be to laugh and say "haha, is that all you've got? weak as piss girl" and then get her out of your life pronto. I know Drexel has very firm boundaries regarding this behaviour and would certainly NEXT her permanently, but if you feel she genuinely lost control and will regret it you can use r/ship management techniques (such as takeaway or soft NEXT) to discourage the behaviour in future. Hitting her back is rewarding the behaviour with attention and ensures it will continue. Also you will have to apologize later which helps her to pass off the incident in her mind as mutual fight rather than unacceptable behaviour on her part. Finally having lived with aggressive, anger-addicted woman and frequently getting drawn into fights (although I fortunately never lost control to the point of hitting her), I can say you will be miserable and beta if you go down that path. You also risk being dragged through the Family Violence system as I did, which is extremely humiliating, expensive and stressful, even if you win in the end (as as I did), you're guilty until proven innocent, everyone in the system (mainly women, and a few guys who have been emasculated and brainwashed) will openly laugh at your explanations and justifications, they have heard it all before from dudes who really are abusers in denial. It's a travesty of a legal system, I wouldn't have believed it if I hadn't experienced it.
Ray