Hi,
Your anemone will not thrive/survive in the set up you have now.
Your lighting is not adequate for the anemone (ideally you would want 4 bulbs over the size tank you have now). Is your t5 HO? You would also need bulbs of the proper spectrum (2 coral plus, 2 blues plus would be nice)
You need reef conditions for the bubble tip anemone to do well.