It might help to check the facts. We don't really have paternity leave in the US, so if he's self-employed then he probably can't afford to take too much time off. If he works for an agency he might have vacation time - few families can afford both the husband and wife to take FMLA (assuming his wife works).

While certainly he will have a new little person in his life, it doesn't mean you don't still matter. My husband isn't a T but works in a job where he works with people on a personal level and caring about his family doesn't mean he doesn't care about them.

I'd encourage you to talk to him. Just say you were looking for a way to contact him, came across this info, and wanted to discuss what that was going to look like for your therapy. And, even if you're not feeling good about it, offer a congratulations. Sometimes acting opposite to the emotion can move us in a more effective direction.