Some hospitals have private rooms which you can pay to use, but it’s unlikely they will let you use them on the first night after a c section. I have had two c sections at two different hospitals and with my first, I was kept in for 3 nights and each time the room was in use and with my second, I was discharged after one night so never needed to ask for the room.
Having used two different hospitals, it really does depend on the hospital and the people who are in the ward with you at the same time. With my first, it was during Covid and it was the typical NHS experience of pressing a buzzer, waiting 20 minutes for someone to come and another 20 minutes to get what you asked for. With my second, they had higher staff numbers so my buzzer was responded to within a couple of minutes each time, with my request seen to right away.
I gave birth at different hospitals as we moved, but there really is a lottery when it comes to hospitals.
I was also lucky both times that there was no one super annoying or loud in my room when I was on the ward. First time, partners weren’t allowed to stay so it was quiet, second time partners were allowed to say but 4 out of the other 5 beds were second children so the fathers all went home so that there was only one partner on the ward all night long, and he was respectful and quiet rather than a horror story you here about on here.
In relation to the c sections, the hospital I had my first ignored all my requests for the birth. With my second, a friend of mine gave birth at the second hospital and told me she had the same experience, so I went in with low expectations but they observed all my requests. So again, it also depends on who is looking after you!
My advice - go in with low expectations, so that you’re not disappointed but pleasantly surprised when it goes much better!