Redness and pain have occurred in the finger due to a burn, indicating that the burn is not severe and has likely affected the epidermis and its terminal nerves, causing pain. First, to alleviate the pain, the burn can be immediately rinsed with cold water or running cold water for over half an hour. If pain relief is not significantly achieved by this method, oral pain relievers such as painkillers or celecoxib may be taken for pharmacological pain management, which should provide some relief. If oral medication is also ineffective, then it would be necessary to go to the hospital for muscle injection of pain-relief drugs. (Medication should be taken according to medical advice.)