I don't administer tylenol either. I am under the belief that if we mask the pain we may miss something. Same with fevers. I dont' tylenol until the fever hits a high level. It's the bodies way of fighting off the infection, why would I get in the way of that?
I would have sent her home as well.
Especially considering there was a vaccination. You don't know what hurts, why she's crying. Too risky in my opionion. Better she's with mom to observe.
I have not made it a "policy" however I do highly suggest that parents vaccinate on Friday's so they can watch for side effects through the weekend.