Oh Love, it it the most horrid feeling isn't it, being stranded on that table being stitched up by people who don't know you and don't really see you as anything more than a body.
However, I truly, honestly don' t believe for one minute it will have effected the bonding process with you and M-G. Not at all.
I can tell what kind of mummy/person you are and it would take an awful lot more than that to create a distance.
I think you should certainly make a point of mentioning this at your 6 week check. As you say it may prevent it happening to another mother (I always feel concerned for those women who don't speak English and don't have a partner, because having your insides put back and just staring at the surgical lamp and listening to the theatre staff chat is very very lonely).
TBH, and this is speaking as someone who was crazy as a loon for several days after the CS, so I'm not being judgemental, your hormones are all over the place to be sure and will be making you feel up and down big time. Also, I think, with a CS, you suddenly feel empty, in terms of body image, and when the baby is out and everything is OK you realise, 'hang on a minute, I've just had a big F-off operation and I need a lot of TLC from everyone'. Plus there are very few other situations where you would actually be able to HEAR the theatre staff, it's a bit like being buried alive isn't it?
So don't worry about the effects on your daughter and just try and put the op behind you but do make notes and bring the up at the 6 week check.
Now kiss that lovely baby girl and squeeze your lovely boy and make DH bring you a bacon sandwich and rub your feet, you deserve it.