According to Healthline, cleansing your face with cold water has a number of positive impacts on the skin. For instance, cold water washing can help to prevent acne from occurring. This is because hot water strips the oil from the skin, which then triggers the skin to produce more oil, which can cause overproduction of oil to begin or worsen — whereas cold water can help to regulate the skin's oil levels. Additionally, "while hot water opens pores, cold water closes them," the site notes. Closing the pores prevent dirt and bacteria from entering them, which can help to prevent pimples.
For managing skin conditions like rosacea, cold water can also be highly beneficial. Hotter water can cause more dilation of the blood vessels in the skin, making your skin look redder.
As per Style Craze, cold water helps reduce facial puffiness due to the cold water constricting the blood flow beneath the skin. It also increases hydration as cold water can help skin retain moisture, as well as reducing production of sebum. Cold water can also be used to combat swelling and inflammation, as well as helping to prevent the formation of wrinkles.