It sounds like your nurse is providing therapy. I think it is really hard to see 2 therapists at once unless they are in frequent consultation with each other and perhaps one is providing a specialized service the other cannot (e.g. hypnotherapy, EMDR). I would stick with just one therapist right now, the one you feel is helping you most, especially if one of them has expressed that the other is working at cross purposes to him. That is not helpful to the client!

As for CBT, I did find when I was working with a CBT counselor that she tried to fit my treatment into some sort of CBT box and I had to be firm with her about what was and was not working. I was only able to sleep 2-3 hours each night and had been that way for a couple of years. She needed to hear loudly from me that the most important thing for me was sleep, not exercise or any of the other things on her CBT list. Once she got the message, she was able to focus on the sleep problem, and she helped me so much with that! But I really had to be assertive in getting her to listen.

I recommend listening to your body. And your soul. And doing what you need to heal. Only you know. Sometimes well meaning suggestions like "get exercise" just aren't the ticket at the moment. When you have more sleep or are feeling stronger, then you can add exercise. Hang in there!