I'm thinking of beating up the lady who hit my child.
Wait, what is going on here? Why did she hit your child?
She was yelling, my child ran into traffic to get away from her
I understand you're angry that someone hit your child. But hitting them will only get you arrested too. Just call the police and let them deal with her.
Come on, I can kick her ass, don't be a dick.
If you beat her up, then you'll be in trouble and you won't get any satisfaction out of it in the long run. Also, you'll be setting a bad example for your kid. It's better to contact the authorities so she can be properly punished and so she doesn't hurt other kids.