Most daylily people are aware of leaf streak and leafminer on daylilies, but there's another L villain that is less familiar,
Lopidea confluenta :
http://www.daylilies.org/ahs_d...
More common on daylilies than the above is
Lygus lineolaris, the tarnished plant bug:
http://www.daylilies.org/ahs_d...
They're harder to spot because the adults will duck out of sight under the buds when you approach, and the babies (called nymphs) look quite different and resemble speedy aphids. They can be distinguished from aphids, if you can get a close enough look at them, by their being solitary as opposed to feeding in groups and moving much faster than an aphid. As they get bigger they also develop dark spots on the back (see daylily dictionary pictures). Here's a picture of one of the very young little devils on a daylily anther. You can see that another adjacent stamen has been damaged and rotted, did he do it? Can't be sure but it's possible.
Here's a picture of a couple of adult
Lygus lineolaris on opening daylily buds, quite different but also potentially damaging.
Sorry these are not lovely L flower pictures but I have better pictures of bugs
(Edited to reduce image size)