I was going to agree with everyone who said rabbits don't bother daylilies. There are rabbits everywhere around here and they'd have to be rather taller to eat off daylily buds, or else the daylilies would have to be short. I've never noticed any damage from them.........but what I hadn't accounted for was scapes leaning out at the side of a clump so that they can be caught hold of and pulled down. That's exactly what I saw a young bunny do this morning. I took a picture of the scene of the crime:
It didn't eat the buds, having chewed them off. Just left them there and moved on to eating grasses. You can see in the pic how it had munched through the scape just below the buds. I'm not sure if it didn't like them, having chewed them off, or whether I had sprayed those buds with deer repellent. I rather doubt it was the latter since it was a low scape and I don't remember spraying one that low down. Maybe just being a young bunny it wanted to give daylilies a try and didn't like the taste.