I would keep the CBT above all. This is obviously my outsider's perspective, but my sense of your DD is definitely that she has anxiety and that it could perhaps be her primary diagnosis. I am no expert, but we have been told that anxiety can create a lot of other issues, including apparent social skills problems, etc.

My anxious DD LOVES playdates but is also worn out by them. Also, she is on the SPD side of things but has continued to outgrow the behaviors without any treatment.