I think all this comes down to the fact I wasn't aware of her birth and couldn't hold her. Is,it possible banning partners is going to affect their bond? Please don't upset people with that, it doesn't affect the bond and having a section doesn't either. I have 4, one normal delivery in high tech hospital environment, one home birth, one EMCS, one forceps, two of them were inductions. It didn't make one jot of difference to the bond. I think it is very hurtful to suggest that and have you thought about adoptive parents or when a baby is whisked off to SCBU?
Someone can have the perfect birth experience and develop PND and have problems with bonding and people can give birth in appalling circumstances and it doesn't affect their relationship with the baby. Please don't add to the OPs stress by suggesting this is going to have a negative affect on her baby and it's father.
As for being upset that your husband held her first, well all I can say is I was happy that my baby was with someone who loved her. When visitors went home that night the other women in my room told me they cried watching my husband sitting by my empty bed, holding his first daughter and singing to her. They found it moving and so did I.
OP please don't let the fear of not bonding add to your worries, I didn't have husband with me for two births and there for two. No one would ever have been able to judge his relationship with them on that basis.