T-8 lights are no good for LTAs. Look into getting power compacts (PC), very high outputs (VHO), or metal halide (MH) lights.
I think the 10,000k rating bulb would be the best because it has a higher photosynthetic available radiation rating (PAR) than 20,000k or 50/50 bulbs. A T-8 10,000k bulb is still not good for your anemone though.
Like I said a two 65 watt power compact lights (about $130) would be the bare minimum IMO and you still have to feed the anemone 3 times weekly so it may have a chance. No less than that. A better lighting choice would be a 150 watt double ended metal halide (about $200). With the halide, you can also keep soft, LPS, and SPS corals as well as clams.
I think it may be useful to tell you what happened to my first anemone. I bought a perfectly healthy 6" rose bubble tip anemone after my tank had been setup for 5 months after the cycle. I had a 2x65 watt PC fixture over my 36 gallon, and fed the anemone 3 times weekly. After a few months it still became weak and it was only 3" fully expanded. If I hadn't bought my 150 watt double-ended MH when I did, it would've probably starved to death. That was about 8 months ago, and now it has regrow to it's full 6" and about two weeks ago it split so now I have two. I spent a total of $350 for my lights, and it consists of a 150 watt DE MH + 2x65 watt PC.
And just some extra info, about 90-95% of anemones die within the first year in an aquarium because of bad husbandry (e.g. unstable water cond. and/or insufficient lighting). I think that's very sad, since they can virtually live forever in an ideal environment, free of predators, stable conditions, sufficient lighting, etc. Since they can regenerate any part of their body and organs, I believe they cannot die of old age, but I doubt anybody has tested this theory. :thinking: