Some say to separate the variegated fan from the others to encourage that to grow and divide. As it has less green it will grow slowly and the green fans will take over.
Others say to leave it and "self" it if that specific fan makes a scape, to increase chances of variegated kids. Prior to separating the variegated fan off. I looked closer and saw your variegated fan has a scape!
Not sure which I would do, to be honest. Depends on fan size. But I would probably treat it like a queen who wants for nothing. I may grow it in a pot and give it a prime sunny location where I could keep a daily eye on it.
For other plant types less sun increases chances of losing variegation as the plant needs to make more chlorophyll to survive in darker spots as it already has low chlorophyll. Some also say do not feed high nitrogen fertilizer as that encourages green-ness. However, I do not yet have experience with that. What I can say is my variegated seedling emerged 2024 looking 'meh' but only after a few sunny days the variegation is taking off. So mine will be getting more sun for sure.
I dug out a couple of example pics of mine. Note white variegation behind daylily (2 clumps, right one is from a prolif) is a crocus bed, and a variegated tulip in front of the daylily. If you see white it aint a daylily. My variegation is yellow.
April 14th - shade. Looks like a normal daylily.
April 15th - sun. Looks like a normal daylily.
April 27th after more intense sun. Variegation is beginning to show now. It will get better and better the more sun the plant gets.
And what it should look like in July with enough sunlight...