Am I just overreacting or would you feel the same way?

My baby's father doesn't ever tell anyone about having a baby on the way. Well today I seen he has gotten into a new relationship, the first after we broke up, and I asked her if she knew he has a kid on the way and she said he's never even mentioned it?! He can't even tell his girlfriend he has a kid on the way?! I'm so frustrated right now I have no idea what to even think or say. It is so infuriating knowing that your baby's father is basically embarrassed to be having a kid and thinks it's going to ruin his whole entire life and any chance he has at a relationship with a girl. Your child should come first and if she can't accept that then why would he even want to be with her?!