Which child is wrong-er

A is wrong but B is wrongerer

Also always speak up and go to the teacher before being tempted to push. If problems continue they might be moved apart.

This. Plus, I'm assuming you are basing this on Child A's version of events. So, what we get is your version of Child A's version of events.

I don’t agree with this. If one child lightly pushes another who then retaliates with significantly greater force, that is disproportionate and needs nipping in the bud because that sort of behaviour can land you in a lot of trouble in later life.

Child B is annoying but you don’t push, so child A has to take responsibility for their push, child B for theirs.

Child A needs to learn to communicate with words and to recognise that not replying to someone is rude. If they’d said ‘X is broken’ and ‘Will you stop bothering me’ this might not have happened.

You don’t stay silent until someone annoys you, then push them.

Child A isn’t obliged to tell Children B if she doesn’t want to.

How do you know this all happened?

This

Child B needs to learn how to mind its own business, or will one day encounter someone who does worse than push.

Also agree sex is irrelevant for young children in these circumstances.

It’s a bit of a non-issue so I wouldn’t try to determine who has greater blame. It sounds like children behaving childishly. Just focus on whichever child is yours about what good/better would looks like in the circumstances.

If you push someone gently you can’t complain if they push you back harder (and you don’t really know that it was gently because you weren’t the one being pushed).

Child A. Shouldn't have pushed. If she was that annoyed and struggling to deal with the situation she should've got the teacher's attention. If you get physical, expect someone to be stronger to you back.

Child A was in the wrong for shoving. Given how clearly biased the OP is I’m curious what Child B’s interpretation of events was, could explain why Child B’s mum felt the need to get in touch.

Child B sounds like an obnoxious space invader.
Bs mum sounds overly precious and "a lot".

Separately, you need to teach A better strategies for dealing with B and little irritants like B because shes a girl and theres going to be a lot more of it coming her way.

I wpuldn't be punishing her I'd be helping her.
I'd also wouldnt be giving Bs mum much more than a thumbs up.

Child B needs to learn to not pester when told no. Child A needs to learn not everyone can read the room. They'll learn this by explanation and experience i hope.

It's not always helpful to assume that one child is right and the other wrong, or wronger.

Child A, on a technicality because she resorted to violence first. Hard luck as clearly she was provoked.

I always tell my kids: when you push or hit you are always in the wrong and you lose the right to be surprised or upset when someone hurts you back.

I can understand other dc mum being a bit peeved that her dc got the bigger share of the blame but it’s really not worth her texting you over. She is the wrong-est!

At those ages, this is not a question of which child was most wrong, but a sign that both children need a bit of support with they how they handle things.

Child A needs to be supported with alternative ways to deal with frustrations such as this; either feeling more confident to explain what has happened, to ignore the other child's persistence or to be more appropriately assertive.

Child B needs to be supported to understand social cues from someone who doesn't want to explain themselves, and certainly that (at this age) they should be involving a teacher and not pushing back if another child acts with physical force.

Ultimately, this is a very typical scrap between young children who still need to learn how to manage such situations; not a case of one child being more wrong than another.

It absolutely does matter what sex they are. If I was raising a boy he'd be told he doesn't hit/shove girls back no matter what.

The child who pushed first was most the wrong and should t be surprised when they are pushed back, even if it was harder.

It is awful
how some posters are trying to make the sexes of the children relevant here when they are not. They are children and it makes no difference wether it was a boy or girl who did the annoying or the pushing. I find it weird and slightly disturbing how some posters are so fixated on being anti male that they will extend their misandry even to 7/8 year old children.

Sounds like Child B's parent has little to complain of, if her child pushed harder in retaliation. I'd be annoyed with his mum for complaining to you about such a minor incident that should have been handled at school.

You've discussed it with your child. She knows she was wrong to push him. I'd instruct her to go to the teacher next time he's bothering her. As for the other mother, if you need to reply, I'd try to keep it brief, factual, and calm. Your daughter has told you about it. You've spoken about how neither of them should be shoving. You hope they'll both behave better next time and go to the teacher with any disagreements rather than resorting to pushing.

Child B needs to be taught boundaries. When someone doesn’t answer you after you ask a couple of times, stop asking. Child A needs to learn to keep their hands to themselves.

Child A…you give out violence expect to get it back. But they’re kids, so who cares, tell them to behave better and move on.

Hello, Mum of Child A.

Child A. They escalated to physical, then got all melodramatic when it was done back to them.