The cat will warm up to your daughter. You've just got to give her time. Really. My cat used to be afraid of my brother but eventually got used to him (same kind of thing, would hide under the bed when he was around). My cat wasn't treated well as a kitten and was skittish around strangers up until she died.
If you force more exposure with your daughter (for instance, having the cat in the same enclosed room as your daughter) that should help speed up the process.
Cats have personalities, just like humans, and with those personalities come distinct quirks. Sometimes you're the one who has to adjust, but given time the cat should get used to the presence of your daughter.
Good luck.