Perhaps she feels much comfortable in scrubs because they are loose-fitting (perfect for running around all day in!) as well as something she can get food, dirt, snot, etc. on + won't have to worry about it.
If this is what she prefers, then I would give her the green light. Some nannies may just feel comfortable in these types of clothes vs. their regular clothes.
Overall, let her know she is free to wear whatever makes her comfortable since a comfortable nanny equals a happy nanny.
