You're on the horns of a dilemma. Too cold or too dim are the choices, both less than ideal. For the good of the plant, picking another spot for it is the best option. If that's nixed, I'd go with the reduced light & out of the draft. The reason is: If you keep the plant quite dry (but not completely dry) and in the dimmer light it will go into something of a holding pattern. It might even lose a lot of leaves, but as long as it's viable come summer (where do you live - important info) you can get it to rebound pretty quickly if you're ready to work at it by repotting it when it needs it and getting it some outdoor time. Chill is worse than too little light because cold can severely inhibit photosythesis, which essentially puts the plant on battery power (forces the plant to rely on reserve energy instead of current energy production). Like a battery, the amount of stored energy the plant has is finite. Out of energy = out of commission for good.

There are additional considerations, but let's see what you have to say first.

Al