To check whether there is some anthocyanin pigment in the flowers you might try picking a bud the morning of the day before you estimate it will open (before it even cracks open at the tip of the bud even slightly). Place the bud with the tip of its pedicel in a bit of water in a glass in the dark in the refrigerator. At about lunchtime of the day it was expected to open remove it from the refrigerator and check it immediately for petal colour. Some daylilies (particularly near-whites) have a slight bit of pigment in their petals which immediately starts to fade quickly as soon as light hits the petal so speed is essential. In some near-whites the pigment is faint pink and gone in a couple of moments after light hits the petal. It is also possible that removing the petals from the bud while in a darkened room a few days before you estimate it is about to open naturally you might be able to catch fleeting faint anthocyanin pigmentation before it is destroyed by light. I don't know when anthocyanin pigments begin being developed in the petals or how quickly they develop. but I have tried the refrigerator (cool and dark environment) which tends to increase anthocyanin pigmentation.
Temperature effects on anthocyanin pigmentation are shown below
Light intensity also affects the development of anthocyanin pigments in flower buds.
Yes, there might be some much throat area on the petal and so little normal petal area where anthocyanin pigments normally occur that it might require specific chemical tests for anthocyanin pigments.
Also, another simple possibility, if the flowers were not protected from insects, is that insects also pollinated the flower(s) with pollen from a red flowered daylily that was in bloom.
I don't expect that it involves an epigenetic effect. There are a few daylilies that have 'Rose F. Kennedy' as a parent and are registered as "near-whites". Since RFK shows its anthocyanin pigmentation and the other parents that were involved tended to have low anthocyanin pigment levels my guess is that the presence (versus complete absence) of anthocyanin pigments is a simple dominant but that the amount of actual pigment is a quantitative genetic effect (basically I agree with Arisumi for both aspects). The actual amount of pigment is also greatly affected by the environment so there are strong genotype X environment interaction effects related to the quantity of anthocyanin pigment in petals.