The brown areas are quite extensive, do you have leafminer damage on your daylilies? I see a couple of places that could be mines that have turned brown but can't be sure. It still doesn't look like daylily rust (the Kleenex test can give a false negative if there aren't a lot of pustules). I would make sure you really do have something that needs spraying because kitchen detegent sprays can damage leaves when the weather is hot, sunny and dry.
