A woman giving birth, or one that just gave birth, is entitled to manage her surroundings. When my oldest was born, I was not with her father (although he was present for the birth). A nurse came in to check me and I asked her to hold off while he stepped out, she looked at me like I was nuts. To me, I allowed him there to witness the birth of his child, but that wasn't the birth, that was a nurse just checking out my woohoo and he had no need to witness. I set aside my discomfort for him to witness the actual birth, because I felt it was important for him not to miss that, but that doesn't mean up until the moment, or after for that matter, I was comfortable with him hanging out while my nether parts were all hanging out.
In addition, my husband and I have had three children (a set of twins for two, one vaginal, one c-section in the same day, fun right). He has seen everything, including my uterus sitting on top of my stomach. However, I still don't want him around when the nurse is checking me out after...quite frankly, that is nasty business and I did not feel comfortable sharing those particular moments with anyone, including my husband. MY RIGHT.
I'm married to my husband and he still doesn't have the right to be present in my hospital room if I don't want him there. Even marriage doesn't negate a woman's right to manage her delivery and recovery while in the hospital.