@Katied1331
A few words of advice:
Send a tube or pot of your usual nappy cream to the nursery with the little one. Ask them to use it when they change her.
Learn about the curls.
I had a few DDs with ringlets and this is what I did - I used baby shampoo and lots of conditioner in their baths/ showers. I did no daily brushing of dry hair, just ran a wide toothed comb through hair with conditioner in it before rinsing it out in the bath or shower.
I used spray-on leave-in conditioner/ detangler in the morning and again, the wide toothed comb/ rake. There was often a frizzy patch at the back of their heads from sleeping, and on the mornings when a DD was simply refusing to cooperate with hair, I simply wet the hair with warm water or leave-in conditioner and sent them off with damp hair.
You need to communicate with the nursery about the hair. They should be made aware that curls are much harder to brush or comb than straight hair, and some children have very tender scalps or sensory issues that make tackling it very difficult on a daily basis. As long as the hair and scalp are clean, an unruly, unbrushed look is fine. Don't try getting a comb or brush through dry curly hair.
Mine were bathed 2-3 times a week, and I used leave-in conditioner on their hair most mornings. As the hair grew, I managed to plait it for overnight neatness.
Wrt the nappy rash, make sure your baby doesn't have a fungal infection there. This happened to one of my DCs, and it took prescription ointment to clear it.
If there's a persistent nappy rash that isn't clearing up, try different nappies, or try eliminating dairy, corn, orange juice, berries, or eggs from their diet.