Let me explain better...
(and those are T5HO's by the way, not power compacts)
Not only is there not enough quality light, but the tank is small. There is not enough filtration, and stability. You have to feed your anemone quite often, and that will lead to water quality issues without adequate care. Short term, it will work, long term, there is a very slim chance that the anemone will live longer than a year.