Maybe if the light is directly over it. I'm not familiar with your tanks length vs bulb length. I successfully kept one under power compacts when I first started the hobby. It was bleach white like yours and turned a nice dark brownish purple. Be sure to feed it meaty chunks of food to help it get its strength and color back. Krill, silversides, fresh seafood from the grocery store etc. Until it starts getting its color back you will have to nurse it back to health.
Sebaes are rough shippers like some anemones and they lose their symbiotic algae that helps give them nourishment, they call this bleaching. Without it the anemone can't properly get energy from the light. Once you feed it and it gets used to things and your light it should color up.