For Blue's puppy class, all that was required was proof of his first set of shots. Bordetella wasn't required but puppy class was less than an hour. It makes sense they would want it for daycare.
The rabies I question though because she should be about 16 week (or 4 months) to get it. So if she's younger, and she hasn't had all her vaccines yet, I wouldn't do it.
I know my vet spaced Blues vaccines apart. He got his last set of shots, along with Bordetella (not the nasal version but the shot) at the same time. Then a few weeks later, he got his rabies vaccine.