A.H.
My daughter was about that same age when she had it, and it only lasted about a 6 weeks or so (she's a very social child though, so yours may take longer). It's totally normal at that age, and I think having her go to a daycare would make the problem worse - after all, you'd be making her fears come true !!! Assuming you socialize with other children and adults on a regular basis, your child will grow out of it as other things begin to pique her interest more.