I would remove him. I had a similar problem. My son was in a great school but then we moved house and husband said it would be easier to change schools closer,to the new rental. I had a gut feeling this new school,would be no good.
On week 2 of joining,, i heard the nursery teacher screaming at the top of her lungs at a 4 yr old boy, he didnt want to attend school for the next week. We parents we all there waiting to get our kids we were gob smacked. I never shout at my kids like that, not unless the house was on fire. is this the way to discipline or instill fear in small kids? I'd be upset if my 4 year old was spoken to like that if you speak like an animals expect the behaviour to be returned. You can discipline without screaming like a hyena.
same school i heard other primary 1 kids getting shouted at very loudly, and I was sat outside the room waiting for my son,,first week in a new school. This doesn't give me a good impression.
Then second week my son is really upset, says he wants to go back to his old school because he was taken to the office for play fighting. he said He always play fighted in his last school and because the kids were happy and not hurt, the teachers were fine with the rough and tumble. But in this school his play fighting was mistaken for bad behaviour. So he didnt get a light reprimanding,he got marched to the office. The headmistress shouted at him, he said louder than dad ever does lol. I thought nothing of it,thought maybe he was naughty, or it was a one off misunderstanding, until i heard other parents criticising the headmistress on her discipline methods, ie shouting at top of lungs. It seems like the other teachers in the school follow suit, down to nursery level.
I know my sons boisterous, and can be cheeky but dangerous, a menace no. I removed him back to the other school, he's so much happier there, i never receive complaints about the teachers or him.
Even if he was on the tree branch she should have marched him indoors away from prying eyes of parents and had a word, not outside, humiliation is disgusting tactic to use on a small child. see if you can get his name on another school waiting list.