My Mom moment

I have read about other Moms facing this and it was time I faced it too.

This past weekend, we were at a get together which had a good outdoor space, where the kids could run around. So M and N were having a lot of fun running around, chasing imaginary things and each other and playing tag. A little while later, N got interested in a group of boys playing - they were probably 4-5 years old. N and M go upto them and statrt talking in their language which I don't think kids of that age get - they've probably forgotten it. So all of them ignore these two and run off, except this one boy who stands there listening to N jabber. Out of the blue, he pushes N and N gets angry and says to him 'No push', so the boy this time pushes both M and N. I was a little distance away, so I walked upto this boy, and I repeated what N had said except I added some vowels and prepositions ' Please don't push'. The little boy moved away and I looked around for any parents, but no one seemed to claim to know the boy.

Later G and I were discussing this and G told me I was being over protective. But I wasn't, I told him, I would've reprimanded N too if he pushed anyone, I make him apologize immediately to M when he pushes her or pulls her hair. It's just the right thing to do. Am I wrong? Should I not have said anything to the little boy, should I have let N handle the situation?