That's great you had such a good session! There are times I feel like it's just an appointment and there are times I feel like she is looking into my soul. I've told her that her eyes "get to me". Perhaps I've never had that connection before.
Instead of hugging her, you could pat her on her back or something small. I never wanted to hug my T. but I wanted HER to reach out to me. She would sometimes and I would feel like everything was ok. Once I told her what it meant to me, she stopped - she didn't want me basing my week on whether she remembered to. My husband told me to hug her and I about died. Then, I realized that perhaps she was open to me initiating but didn't want it to be all on her. I still don't have a desire to hug her but sometimes my appreciation is overflowing and that would be the most appropriate outlet.