Your anemone doesn't look good at all. This is more than it just retracting. It is likely that you damaged it when you moved it. It's very easy to do. It is also possible that the anemone was damaged when you purchased it.
You can try a partial water change. That may help. Keep a close eye on it. A dead anemone can foul a whole tank quickly. If in doubt, give it the smell test. If it smells really foul and bad, discard it. I would hold out much hope, but sometimes they do make remarkable recoveries.
Anemones require just about perfect water conditions, and excellent lighting. A 4 month old tank is seldom mature enough for one. I can see by looking at your picts that your tank isn't ready for one yet. Note the green algae on one rock, and how many of the other rocks still look bare. In a mature tank they would be covered with coraline algae or other life.
It is also likely that your lighting is not nearly good enough for an anemone, but that's a bit hard to determine since we don't have the full details about your tank and the lighting being used.