Phew, so it's NOT just me :)
Thanks so much for your replies. It helps to know that I'm not being overly sensitive or protective.
Will try to respond to some specific comments later, but in the meanwhile, spot on, that I don't want to over-ride her natural sense of caution towards new people. Also if they are too inflexible to accomodate a simple request to allow DD time to adjust, then this is not the right class for us.
I've decided to ask to join a different class, and if this is denied I'll ask for a refund, explaining why I don't wish to continue in the existing class. Will keep you posted. Thanks once again!