Would you rather have a full scale riot caused by one mouthing off woman who wouldn't stop or whack her across the face and haul her off to jail and end it right there. Your choice.
Do you whack your wife/mother/daughter/niece/all of the above across the face when she opens her "pie hole" (as you termed her mouth earlier) to end it right there?
If so, it explains your defense of this bad cop. If not, I can't imagine why you would defend this poor excuse of a cop?
A more legitimate police response, and scale of escalation, would have been:
1) Give her an order to leave the area immediately.If I was standing there, and an officer, without justification, had punched my wife, girlfriend, or daughter, then I GUARANTEE to you, that you would have a much bigger situation to deal with than you did before.2) If she does not immediately comply, then grab her by the arm, say "You are under arrest", and take her away.
3) IF SHE RESISTS ARREST by attempting to break free or trying to assault the officer, THEN he can legitimately use force in order to subdue her.