Waiting room during delivery!

I'm really annoyed, told my fiance I would prefer to tell Family/parents after the baby has been delivered, instead of letting them in the waiting room. That way we have time to bond the 3 of us and the little one and I can freshen up and nurse. Before having everyone in the room. He got peeved and said they would wait as long as it takes and we should let them decide anyway.

We don't know yet what type of delivery I'll be having and how long it takes, but I prefer to have a bit of privacy. I'm thinking of letting the hospital midwife know I prefer no visitors. Would it be awful of me to want this? I appreciate the support and all but not fond of having family there hearing me scream my heart out.