S.M.
I think Page is right. It sounds like you need a new daycare. A competent daycare provider should be able to determine if a baby is sick, or is just fussy because of teething, or is just fussy, period. You need someone who can deal with a crying baby without having to call you to come and get her.
I would explain to the provider that you cannot take time off work just because the baby is fussing, and ask her if there is some other reason she felt it was necessary to call you at work. Then, if you look for a new daycare, let them know that you need someone who can deal with the baby if she cries without having to call you at work.