When I first had couselling when I was 18, (it was individual therapy at uni) I sometimes found it so hard that I got really anxious. Because it was individual, my counsellor could ease off the pressure when things got too much and calm me down. That may not be possible in the group dynamic, so it may really help to find someone who can take things at your daughters pace. It can be really confronting and difficult to deal with.
All the best with meds and therapy, it can take time but it will get better.