I think it would be a good idea to discuss your worries with this new T. If she's worth her salt she will address your concerns and help you decide what is best for you without becoming defensive. The lateness really isn't fair - you are persumably paying for an hour so to only give you half an hour is just unprofessional and potentially damaging. I find it really upsetting how some therapists seem unaware of the message they could be giving someone who might have emotional issues linked to trust etc and just the whole impact of not being there at the agreed time. Grrr. The hugging seems blatantly wrong to me although she may well have good intentions. It doesn't seem ethical to hug you so early into therapy and particularly without being clear whether you want one or how you feel about it. It seems to be more about her needs than it does about yours, which worries me. I wonder if she is trying to meet her own needs in some way. I don't know, but something is off.

When I first started seeing my current T I knew I had found a good therapist when she talked with me about my grief surrounding my former t (who I had ended with some weeks earlier) and told me that if I felt I wanted to return to my former t I didn't have to make that decision alone, I could discuss the issues around it with her her first if I wanted to. She was clear that she wanted me to make the right decision for myself and it would not impact on her should I decide she was not the right therapist for me.

Any ethical t will not become defensive or put blame on you should you decide her methods are not for you. I feel that it would be good if you can talk about your concerns with her rather than make this decision alone. Her reaction to your concerns may well help you reach a decision.