So it shouldn't come as a shock to here that when stressed our temperature can be as low as 81° Fahrenheit and when you are calm it can be as high as 96° Fahrenheit. Room temperature has nothing to do with it and obviously this isn't accounting for nutrition.
Stress causes our body to go into fight or flight mode, this can draw a lot of blood from the extremities to the large muscles and vital organs. Our feet, hands and face often go colder and its a common sight to see someone white in the face from shock, when my Achilles ruptured I looked like a ghost.
Eating well (see previous posts), remaining calm, practicing breathing techniques and learning to react better to stress are all great ways to maintain body temperature and keep ourselves healthy.