i am going to totally blunt here, yell at me all you want.
when someone barged past my dd2 and sent her flying and bruising her nose, did i call the police, no i didnt, because tbh they have more important things to do (dd2 was about 3 at the time, size of a 5 year old, lady yeled that dd2 should've been watching where she was going, dd2 was holding my hand at the time and has autistic traits, she is a daze when we go out), i said she should say sorry, but the lady walked off in a strop.
your dd at the age of 5, should'nt be bothering adults in teh street and blocking the way into their homers. if my dd2 was annoying neighbours by blocking the path, or whatever it was your dd was doing, then she gets hauled up for being rude.
you dd was pushed. yes it was bad. but sher probably bruised her pride more than anything.
and at the age of 5, who was watching her playing out? you or her friends mum? was there any adults out there (apart from the pushy lady) keeping an eye on the kids?
the lady was in the wrong, but IMO to call the police about this is just a waste of police time, and form filling when they could be out getting the real child batterers rather than a lady who had had a bad day and pushed a child over, not really hurting her.