Go back to checking the facts.
He's going to want to spend time with his family. That's a given. And yet, he's also going to want to make sure he can pay his mortgage/rent, buy food, and care for this family he's got. Usually having a baby makes people more worried about finances not less
I know we don't like to think of the "business" aspect, but that's exactly what's going to help validate his promise to you. You know he needs to pay the bills and so he can't just up and leave you to go spend all his time with his wife and baby because otherwise they'll be living in a cardboard box by the side of the road.
The other fact is that you're the one in control of what happens with regards to the Pdoc. You don't have to go if you don't want to. In fact, I think it's worth discussing in therapy why you don't want to and expressing these doubts you have. I've done that with my T. He once mentioned me seeing another T briefly to get another perspective. I asked him if he was pawning me off and it took a few times for me to feel comfortable believing him. I didn't go see the other T btw. I decided it wasn't worth it and he hasn't brought it up again.
(To add to that, while some Pdocs still do therapy, many don't. So your T can't prescribe meds and that means he has to send you to a doctor if he thinks it might be helpful).