It is advisable to keep your face covered by a scarf and be sure to wear sunblock or a hat to reduce the contact of sunlight with your skin during the healing process. The cold air alone is unlikely to cause damage however it may cause redness if you are exposed to sunlight. I would suggest to minimize the length of exposure to cold and sunlight however possible. Your skin is very sensitive following a laser resurfacing and must be treated as such. Thank you for your question.