Right after a C/S birth the staff know what to do (I did anyway
If no one else is there to teach baby care then the staff will need to change nappies and hand bub to mum after positioning mum for a bf.
It's not rocket science.
Human mammals indicate a need for feeding on a regular basis (it is normal and called survival).
Usually they are sleepy in the first 24 hours (unless they are in pain ? from a hard labour or birth) and then wake up with very frequent callings in the second day of life onwards.
Especially they are unsettled at night.
That is what healthy normal human mammals do.
If you don't want to have help (which I hope you get, it should be routine) to bf and wish to bottle feed formula at night then that would be interrupting the normal physiological process that are (usually) hard-wired into the infant. But
, this is your choice of course.
MW's have to help with your baby if you are incapacitated but this is usually only for a short time after a uncomplicated C/S.
Sometimes women haemorrhage after birth or have dangerously high blood pressures and may require specialist care in a high dependency unit separated from bub.
In this case if you are well enough (and consent, can't say I've met a mother yet who has refused to see her baby in those circumstances) then bub is either brought to you for a feed or staff can express some milk for you to give to bub.
If possible bub will only get your milk unless there is a problem with low blood sugar in the bub (ie mum is a diabetic), then they may need to give formula (with parental consent) but can give it by a cup (preferentially) or a bottle if bub is unable to drink from a cup (not that common).
I'd suggest you get in contact with your hospital and talk about what happened last time and work out a plan for this time.
All the best.
ETA, Separating bub and mum is one of the basic ways to throw off balance the relationship between baby and breasts and this is the basis of successful feeding.
There are ways to manage unavoidable separations and if you choose to be separated but there will be consequences for the "breast feeding team" (compiled of 2 humans, one mother and one baby).
One of the greatest obstructions to successfully feeding a baby in the biologically normal way is that we (ourselves) and many staff don't see the mother and the bfing baby as a unit, as"one" so to speak and as nature intended.
Ideally we stay together and are nurtured and supported to stay together.
But again, if you don't wish to do it this way then you need to speak up and prepare.