(((((delicate)))))) It sounds like the new client info brought up something for you.
Usually when this happens, there is something from the past that is still hurting. That pain causes us to respond in fear at the heart level.

It sounds like mentally you understand that his schedule and therapy practive belongs to him. That he is responsible for his own time. But there is a fear there at the emotional level that perhaps you will not be able to have your needs met if he is "spread too thin"?

Hug issues can be hard to work on because the physical touch between a client and therapist works at the chemical level in the body and assists in building trust.
When he made that comment about holding on, I can see how easily that may be felt as his urge to pull away or to break the bond with you. That jolt of "rejection" at a time when the chemicals are building trust can be very painful and confussing. It is a form of "sending mixed messages" at a physical level.

Keep being honest about what you feel with all of this. The mind can understand from the mature standpoint the facts - knowing T was not rejecting you - while the heart feels whatever pain it is feeling at the same time.

Learning how to hold these two oposing viewpoints is a skill. So keep on practicing!