If a seedling breaks in half, will it continue to grow?

I recently planted a cotton seed in a pot. It grew about 3 inches tall and had two leaves at the very top. It was wilting a little bit because it has been very cold recently, so I brought it inside. I placed the pot under the cabinet with the sugar because I was going to give it some sugar to help it grow, but as I reached for the sugar I accidentally hit a can of peanuts and it fell directly onto my cotton seedling. It snapped the upper half of the plant in half and my seedling is now just about an inch of stem and no leaves. Would the stem continue to grow and grow new leaves, or is my plant doomed? Also, should I try to replant the upper portion of the plant (the part that broke off) or would that be useless. Is there anything I could do to help my seedling to grow and not die in the cold weather? THANKS SOOOOOOO MUCH. 10 points to best answer, all answers very much appreciated.