Sorry to drag up an old post but that's awful. Glad you told them to stick it. I think you could have challenged any further action they tried to take anyway.
Thanks. Managers like that dig their own grave soon enough anyway, though. I know I'm not the only one who left because of her. She had done a similar thing to my friend who also worked on the team (not by email, it was a verbal dressing down in front of others. I wasn't in the room at the time), and I later found out that by a weird coincidence, he had put in his resignation (2 months' notice) on the same day for that reason. (I admired him for being so professional!)
I gave him consent to explain to our teammates why I had walked out, and he often told me everyone missed me, and were shocked that one minute I was there and then I wasn't, but were also envious that I had escaped. When I got home that afternoon, I emailed Big Boss to explain what had happened, and that I was sorry not to be able to provide a notice period, but under the circumstances I really didn't feel I could stay any longer. She sent me a fucking ESSAY back that I didn't even bother to read through, because the general gist of it was basically "Well, we're right and you're wrong." That didn't stop her approaching my friend shortly before his departure to ask "Would Leyton Cat Lady come back?" because she hadn't been able to find a replacement for him. I told him she should approach me herself and not use him as a go-between, and that the answer was definitely no.
It wasn't only because of that anyway - this company had started making all call centre staff wear a uniform, despite the fact we were on the phones and no one could see us, and also all the other teams could still wear what they liked, as long as it was office appropriate. It felt really stigmatising, like some sort of corporate jumpsuit, especially when certain people from other teams started talking to us like shit because they thought we were lower status. The management also banned us from having tea breaks because we couldn't be trusted to leave our desk to get our own - instead they introduced a tea rota whereby we would each take it in turns to make drinks for the whole team. When the email announcing this was sent round, I don't think I was very popular with management after I replied all to ask if the designated teamaker was also going to take toilet breaks on everyone else's behalf.
But yeah, the scolding email thing was basically a last straw. As I said, managers do themselves no favours with that crap. They behave like arseholes and then wonder why they can't get the staff.