This can vary a few days to meet the schedule of our State Agricultural Agent who physically inspects your plants prior to shipping. Daylilies normally take 8 - 15 days for arrival. This is a temporary condition and the daylilies will soon recover.
Daylilies are quite hardy.
An inspection tax could also apply. If you have liquid fertilizer on hand, add a tiny bit to the water. Since you will receive multiple divisions, resist the urge to separate the plant. A large plant will recover much faster than a small one from the shock of being uprooted and moved many miles. Some growers like to pot their daylilies for a few weeks to get them off to a faster start.