Ok, this isn’t an emergency situation. Its much better for the trees health to put it in a situation where it goes dormant.
Technically, gaining enough hours of cold acclimation (CA) and achieve dormancy with your maple is totally possible due to the short days and cold temperatures that exist. The time to do this hasn't past. You just need the right conditions. Low photoperiod and temperatures below 45 and not freezing.
Dormancy is triggered by shorter days and cooler temperatures below 45F to 32F until a tree achieves enough Chilling Units (Hours spent in the temperature zone of 45-32F) to achieve dormancy, which has shown to be as little as 200 CU in maples. (About 8.3 days) once it gets enough time in cool low light conditions.
Be advised that the amount of chilling units accumulated in maples are inversely related to heat unit accumulation. In other words, the shorter the time in dormancy, the longer it will take for the tree to push buds. So the longer you can keep it cold and in low light the better. Since the winter hasn't even arrived, you'll have plenty of time to do this.
However there is no reason to put it outside if you can keep it cold until spring.
These studies were done with other maples then Tridents, yet there is absolutely no reason to believe Tridents, especially since these are such hardy trees, wouldn’t follow suit.
As
@rockm pointed out in a different thread a tree that doesn't go through dormancy tends not to grow as well as one that has in the next year.
Cheers
DSD sends