Should I ask to meet a Headteacher?

[40weeksmummy]

Hi everyone,
My daughter is in Y3 and we are at the same school since nursery. We had couple of small incidents (boys fighting during playtime, etc) but nothing major.
Today I took her visibly upset and realised something happened. As soon as we left school she started to cry, shake and I couldn't calm her down for an hour. I never experienced this, she was at nurseries since 1 year old. It was first time she was so upset.
I asked what's happened and she said she was:
1.punched to her face by another student, reported it to 2 different teachers who said nothing
2.hurt by other child during PE and came home with bleeding elbow, she said teacher rinsed it with water and that's it, I had to stop bleeding at home, her jumper was wet from blood/water.
Teacher saw me and didn't say a word, I didn't find any incident reports forms,etc on her backpack.

I wouldn’t go straight to the head but speak to the class teacher first.
The punch absolutely should have been taken seriously and needs unpicking.
Often even in Primary now PE is taught by someone who isn’t the class teacher so the message may have not been passed to the teacher about the injury.
Incident letters tend to be sent for head injuries.
Hope your DD is OK.

Thank you, it's the same teacher for PE. That's why I was surprised, as she rinsed the wound and didn't mention me anything on pick up. It's not a scratch, it's a wound.