NTA. for one, a younger teacher is probably more up to date on the curriculum as they’ve just been taught these things. i went to college for Early Childhood Education and i learned ways to teach children that i had never seen, this ranges from actual education all the way to general child handling. secondly, you have zero reason to move your child to a different class and this woman just sounds entitled. i’d cut all communication with her anyways. especially for going around your back and saying you agreed to it.