Well actually, at first i was going to say that your lighting system definitely was strong enough, but then you brought up the fact that you have a 125G tank. That's a BIG tank for only 96watts of T5HO light. I had 324Watts of T5 over my 55G alone. I HIGHLY doubt that your lighting system is sufficient enough to keep an anemone, sadly. You are definitely going to want to upgrade your lighting system, or return the nem. It will most likely wither away in your tank, or continue to move around until it gets torn apart in a powerhead or something.
One more thing. I could be totally wrong, but judging by how close each of those bulbs are to each other, it looks like you have PC
lighting, not T5. See, each T5 usually is separated from each bulb and is under it's own reflector. Whether the bulb has it's own reflector or it's one large reflector just bent to mimic having separate reflectors for each bulb. In PC
lighting, there's usually two bulbs very close together, almost like they are touching each other. Are you sure those are T5HO's? Either way, your lighting is not strong enough to house a nem in a 125G tank. Sorry.
See, here's what PC
bulbs look like:
And here's what T5HO bulbs look like:
It's pretty obvious which ones your bulbs look like the most.