Over eating?

My baby is 5 days old and honestly I can’t for the life of me remember how much my son was eating at this point. But this girl can nearly finish a 2 oz bottle and will hiccup while still trying to eat her hands. I’m afraid she’s going to make herself sick if I let her eat like she wants to ? But then on the other hand, if she’s hungry I want to feed her. So that’s what I do but it makes me so nervous. I offer a binky often but she makes it clear that isn’t what she wants 😅