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mamabuckeye - My vet is really spent after his therapy sessions too. Right now he is in an all-day outpatient therapy program, so it is a little bit different. But it depends on what they talk about in therapy, I suppose. In my bf's program now, they make him talk through events that happened, every single detail. So you can imagine how horrible that is.. Afterwards, he is very upset/angry, the very smallest things set him off. I know to basically only talk about unicorns and rainbows type stuff that day, because he is just too emotionally spent to focus on anything else, and it is very easy to get into a fight because his trigger threshold is a lot lower. Before his program, he was going to CBT (cognitive behavior therapy) at the local vet center and while that was a little better, he was still pretty much the same way afterwards. He also always kept everything buried and didn't talk about much, so I would assume it would be similar for your guy. Imagine the worst thing that has ever happened to you, having to talk about it in intricate detail.... That's what they have to go through.
What worked best for us was me going to drop him off and pick him up, because usually driving afterwards was too big of a trigger for him. He combat-drives, and after an emotional therapy session, it was just too much for him. It's a simple thing that can really make a difference for him. We would come home and usually just do separate, quiet things around the house. He didn't like me to leave because he felt abandoned after his session, like he went through all of that and I left him high and dry. He also didn't always trust himself afterwards to not drink or do something "bad", and having me there dampened that. So I would usually read a book or go online for a few hours, play with the dogs.. just quiet things, by myself. He would go out on the porch and look at his magazines, or work in the garage on his bike.. mindless stuff for him. It's very important to let him process through the stuff, though. By being together in the house but doing things separately, it allowed him to process through his therapy session on his own, without any social stressors or pressures from having to interact with anyone, and minimizing the risks of triggers being brought up when he was so vulnerable.
Of course, everyone is different, but I found that that is what works best for us. That way you are still available to him if he wants to talk, but if he doesn't, there's no pressure. Good luck! I hope it goes well for you and he gets to go. I live in upstate NY so I definitely understand all this stupid snow crap!! :(