This is the normal regulation mechanism of the body, not a disease, but a normal phenomenon. There is no need to worry or treat it.
When the weather is cold, the body will be stimulated by low temperature and the regulation mechanism will be activated. In order to maintain the temperature of internal organs, the body will allow more blood to flow to the heart, lungs, etc. The blood flowing to hands, feet and face will be greatly reduced, so the temperature of hands and feet will be reduced.
You can do this:
Drink more hot water to speed up blood circulation;
Wear gloves and thicker socks.
Exercise more, every hour you sit, you have to get up and exercise.