wuzup:
It senses presence of the food in water column and opens, one watchman polyp, then more. When food is added frequently, it is open almost all the time, independent from light. If it was closed for a more than a week, give it more time to react on food in the water a week or even more.
I don't see the other way around, only continue to offer it a food.
After you added, say, a pinch of dry Cyclop-Eeeze, it will continue floating in the tank for maybe 20 min, being available for gorgonian.
Finest particles of the fish food also could be used.
If there are some film on the gorgonian surface - transparent, or darker debris, or red cyano - you can remove it, either by siphoning out, using soft airline tubing (blue silicone here), bast off by turkey baster, pipette or powerhead, or rub off gently by fingers.
Here is how it looks closed, the dark dot covers polyp inside, like top of the small cave:

Reluctant polyps are starting to open, one by one:

Healthy central core for yellow diodogorgia looks like this:

Same frag with growth at the base and polyps wide open:
I have seen irreparable damage only on the red morph of the same species, Diodogorgia nodulfera, photos are
here, the second half of page. Basically, soft tissue starts to look rough, as was rubbing off, then only core left. Fragmentation may help, if even small branch with healthy tissue - inside and outside - remains. It will not grow fast to the large size, at least IMHE, but you still will have a nice coral.
Once, with yellow morph, it was closed for prolonged time because of water quality - tank had red cyano, maybe even dinoflagellates - the treatment by Ultralife Red Slime remover (the one that turns water yellow for a two days and possibly contains erithtromicyn) helped. When and if you have nothing to lose, you may experiment with antibiotics. Bath could be preferable to treating the whole tank. If you do - post your experience.
iamwrasseman:
I'm not advocating keeping species with reputation of being difficult, but my red morph is 2.5 years old, yellow - 1.5 and actually grows. Basic conditions, just feeding. Water changes and tank cleaning take a lot of time, of course, when I would prefer to sit and relax, browsing web or reading book - just like anybody else
