Can AC cause tooth pain? If you have a crack, cavity or other entry point into a tooth, cold air can cause intense pain at the site of the tooth break or cavity. If a filling falls out, or the root of a tooth is exposed, cold air can cause extreme pain in the affected tooth. And some people who have very sensitive teeth notice pain in the teeth if they inhale cold air. Your symptoms suggest a condition called cold air-induced rhinitis, or non-infectious, non-allergic rhinitis (Ninar). ... The symptoms tend to be like sinus problems, with pain around the nose and eyes.