With DD I had immediate skin to skin. I doubt it was for a full hour, but at no point did I attempt breastfeeding. DH then held her while I went to the loo, then had a nap. I probably tried breast feeding for the first time about 3-4 hours post birth. She was more interested in sleeping (next day revealed she was mildly jaundiced), so I hand expressed (with help) and fed her that way.
DS was an emergency C-section. Now I work in obstetric theatres, so I know that skin to skin is routinely offered. However, for whatever reason, I was not. DH got that pleasure, and owing to the layout of the theatre was also sat on my blind side, so I couldn't see DS either. I didn't get to hold DS until I was transferred off the table at the last gasp of the golden hour. God only knows when I first tried to breastfeed, but as DS was more interested in sleeping (again, mildly jaundiced), I hand expressed and fed that way.
So not the best start for either kid.
My milk came in day 3 both times. Once the jaundice was cleared via a regimen of 3 hourly feeds and some sunbathing next to a window, breastfeeding established with no further issue. I then fed DD for 23 months (milk dried up due to pregnancy), and DS for 18 months (unrepentant biter).
IMO the golden hour is more of a nice to have rather than a must, and is far from vital to establishing breastfeeding. So don't worry if you don't get all/any of it. There will be plenty of opportunities for dad to hold the baby.