Grow it and enjoy it. You can't fight Mother Nature. There is strong evidence that a long dormancy may not be required for temperate species. There is a big difference between growth in habitat where the dormancy is mandatory, and in cultivation where it can be regarded more as optimal.
Some issues to consider: why did the plant begin it's growth cycle now? Dormancy is closely tied to photoperiod: were you keeping it at 11 hrs. of light? Did you increase your photoperiod?
If the plant had a minimal dormancy, it is likely to do just fine. I have a friend in Brazil that grows Sarracenia without the cold dormancy that plants here in the U.S. get during the dormant months. His successful cultivation of these plants proves that there is a lot of leeway, but one thing we do have in common regarding the dormancy, and that is short days.
I kept some Drosera intermedia in my Growroom this season, instead of in the cold cellar close to frozen. The plants formed hibernacula outside in late Sept., but began growing again in Middle December. That's a very short dormancy, and I expected them to croak. but they are doing fine now. It had a minimal dormancy.
Besides, plants from the Southern range will be stirring soon I think. Maybe yours just heard the Call a little earlier! I am about to bring many of my Dionaea into cultivation again, and I expect that they will thrive.