I think RRD is pretty spot on. My daughter is younger than yours, but she exhibits an inability to make eye contact when upset. and I was a gifted child with some OEs (over excitabilities) and to this day have a hard time maintaining eye contact during times of emotional strain.

I think, while there may be some delays that would be beneficial to know about and keep an eye on, she likely needs more time to adjust. Most daycares or preschools have transition periods for kids that are already enrolled in full time care... seems crazy to me that they would expect compliance from her so soon.