Yes, you are doing the correct thing. The programs are also doing the correct thing by not permitting you to stay with her. That would only reinforce the reticence. You'll have to bite the bullet, so to speak, but it will be fine. She simply needs practice, so to speak, being around other people. If the program allows, phase her into it by gradually lengthening the amount of time she's at the program. Do this in collaboaration with the staff.