giorgiboy, I'd do a little reading on this site:
http://www.wetwebmedia.com/btafdgfaqs.htm and check out all the links at the top for other info on BTA's.
You're getting alot of differing opinions about light and feeding so far in this thread, but there are a few different variables involved, besides just the "amount" of light or food.
Bascially.... your BTA needs energy one way or the other. It gets its energy from two different sources: its zooxanthellae and from direct feedings.
The zooxanthellae are the photosynthetic creatures that live inside the BTA and give it its color. They need light to live and to in turn give energy to the BTA, which is why the suggestion of strong lighting for the BTA.
Direct feedings can also give energy to the BTA: silversides, mysis shrimp, krill, etc.
These can be given in different proportions. Basically if one is lacking you need to increase the other. One problem with this is if the lights are TOO weak, the zooxanthellae will expell from the BTA and the BTA will very shortly after die
This is why you are getting different opinions from different people, they have different setups and also alot of different things work. RichConley has some REALLY NICE lights for a BTA. It can basically get by with no direct feedings in that kind of environment.
If you still have the same lighting you posted at the beginning, you'll need to make sure the anemone is getting energy through direct feedings. Probably a few times a week should be fine and start out with small minced foods.
The BTA may do perfectly fine in your tank, but I would feed it and observe it carefully. The sure sign that its light is lacking is the BTA's color starts to fade. At that point you'll need to upgrade lights or return it to the store before it dies.
Good luck! I just wanted to clear some of those opinions up for you

. They were all fine, but thought maybe it needed some extra explanation.