When Powder got his surgery it was on a Friday, by Saturday afternoon he still hadn’t drank anything so I called my vet to ask about it. They told me if by Sunday he wasn’t drinking still, to dropper some water into his mouth and bring him in on Monday if he hadn’t started drinking by then. So I would ask your vet how they would like it handled. You can wet the greens down before feeding them to her so she gets more moisture out of them. At this point it’s fine, but my vet (who has treated rabbits for 20 years and is great with them) prefers they start drinking some by day 3 and wants to see them to make sure everything is OK if they haven’t.
To get Powder to drink I had to use his bottle (which he never uses since he prefers bowls) and hold it up for him to his face. No idea why he didn’t drink on his own, cause when I did that he drank a bunch and was obviously thirsty.
Edit: To monitor Powders water intake I would fill his bottle/bowl to a marking point so I would know for sure if he drank anything.