Nobody here is arguing that what the teacher did was right. The issue is that the OP clearly wants the teacher sacking and because it’s not looking like that’s going to happen, she’s refusing to let her child be taught by her, claiming the child feels ‘unsafe’.
The OP has lodged a complaint with the school. The teacher has been spoken to and I’m fairly sure won’t be daft enough to repeat the behaviour, whether it was a game gone wrong or not. So why is her daughter continuing to miss a day a week of education?
OP, I’m fairly sure your daughter will be safe in that class. The teacher isn’t going to be stupid enough to throw any more things at her given that you complained. How about you speak to your daughter and explain she should return to class?
Why do you feel the need to push this further?
The teacher didn’t come over and clobber her about the head violently. It was a silly joke/mistake/game that didn’t land the way she expected. And yes, I was a teacher who regularly used the ball game with kids to test learning. And yes, on a few occasions, they didn’t catch the ball and it hit them (thankfully they all thought it was hilarious when that happened!) If a child or parent had complained, I’d have not used that game again. Simple.
Nobody here is saying the teacher should be lobbing pens around the classroom, but the majority of us are confused about what it is you want from this and why your daughter, who you state is very stoic and captain of various teams etc, is so humiliated/upset/emotionally shook up about it?
95% of people on this long thread disagree with you or don’t know what it is you want to happen. Let that sink in.