It is not likely you will be hospitalized for depression, unless it is extreme or you are threatening to harm yourself. I think Hamster offered some good suggestions for talking with your therapist. Basically they make decisions based on what you tell them. You want to be honest but d not exaggerate or embellish what you say.

I went through ppd after the birth of my only child, but my attachment to her was so strong that I would have done anything to be there for her and to nurture/protect her.

When I went through my three miscarriages though, it was very different though. Each time I went through a time of depression, but much of that was related to a profound sense of loss. That bond between a mother and the child that she is carrying ever in the early months is very strong.

I think the fact that you are worried about what might happen is a good sign in a way. I am sure that you treasure your daughter greatly or you would not even be concerned. Things are tough for a new mother. The demands and the fatigue seem to be unending. That precious life to whom you gave birth makes it all with it

Hugs, I am cheering for you. Take care of yourself too or you are not so good for your baby