It's your birth and your baby and you should be able to do whatever you like especially since skin to skin and baby led attachment are evidence based practices and separation of mother and baby is demonstrably poor practice. They're providing you with a service so what you say goes. If you go to a restaurant and want chicken the chef doesn't come out and go "No, I only cook steak here so that's what you're getting." You're the boss, no one is doing you a favour so tell them how it will be