I work in a middle school, and have 2 kids who are out of college. From my perspective, on both sides of the issue, I would NOT have gotten involved at the h.s. level. Middle school, yes. High school, no.
Actually, in that exact situation, neither of my kids would have even wanted me to call and handle it for them. Basically, we've taught them from an early age that life is not always fair, you don't always get what you want, and you really do need to learn to adjust to changes.
And honestly, as far as it being "critical" - I really feel . . . not so much. It's a science class? I'm pretty sure there aren't many freshman classes that are going to make or break any student's ultimate educational path.
I think your daughter could have learned a couple of valuable lessons here. If she transferred to the other class, it would be a good example of how you're not always going to be able to work with or learn with the exact person you want. She might have learned that the switch wasn't such a bad thing after all. If she was really super insistent about not wanting to leave the class, she could have spoken to her Guidance Counselor directly. That would have really been an invaluable lesson on advocating for herself. If she still had to transfer to the other class, so be it.That's just my opinion. I understand that other people feel differently on the level of parent involvement that's necessary in h.s.