I hope you don't think I was having a go at you, as I wasn't it was me being on your side totally.
I have had this sort of thing happen to me.
And I am in total agreeance with you.
And don't let her push you from the park as far as I can see it there is 2 owners here. One is the one(you) how is doing thier best to avoid situations by being responsible.
And Two the owner who think this place has been put ther for them only to have thier dog run loose and cause trouble.
We don't have them parks here but I would say my boy would be the one rushing in as he loves all things, and so far hasn't shown a bad side.But I know it is in him as he is one good watchdog.