Just get her.... Therapy. And an assessment.
As hard as this is, bear in mind that it is better to get professional help when the child is younger.
AND, her behavior/actions... also affects, all the rest of the children in school or her classroom.
You need to get outside professional help.
Do what you need to do, professionally... to help her.
I work at my kids' school... and there is a boy there similar to this. But he is now in 4th grade. The school/Teachers/students... have a very hard time with him. BUT the parents, refuse to get him help. So, there is not much the school can do. And it is very sad... seeing the boy just control everyone in his environment or try to, bully his way through things.
And it makes everyone at the school, miserable.
The boy, has to practically be accompanied at all times.
Don't be, negligent. Of your own child.
You need to be responsible, in getting her professional help.
Don't you want her to be happy?
Get.her.diagnosed.
And look, she already assaulted another child.
The child bled... for at least, 15 minutes.
If that were my kid that got hit and bled... I would be pissed off.
And demand, that something be done.
And, it is highly irresponsible... to make the school... responsible for your child and her harming other kids. This is YOUR responsibility to get your child, assessed and diagnosed and to see a proper Professional.
Or, you will have... MANY MANY parents, upset with you/your daughter... and more kids may be getting harmed by her.
Do you want that?
You are the parent.
The school already told you, to get your child professional help.