This looks like a h.mag anemone, the white is its mouth and its extended because it is very stressed, not because it is hungry.
This anemone needs special care and very intense lighting. A 2 month old tank will likely not be stable enough for the creature. I Urge you to consider bringing it back to your local fish store or better yet letting an experienced hobbiest in your local area take the nem. I am all for learning things, but recommend a standard Bubble tip anemone or even a rock flower anemone to learn to care for before attempting a mag which are notorious for being difficult.
Not to mention, you should be testing Salinity, Alk, Cal, Mag, Nitrates, Phosphates and temperature. Nitrates alone are not enough. And a young tank like this also ammonia.
Im also not trying to sound harsh, as ive been where you are now. I sincerely hope your anemone makes it!