Hi dear , Second degree burn means burning of two outer layers of skin that is epidermis and dermis . Depending upon the depth and area of burn it is further classify into major and minor . usually scarring from a second degree burn on the face occur. The best option is plastic surgery . So i would suggest you to find a good plastic surgeon for proper evaluation of the condition of the skin and get it treated . If the scars are superficial then topical ointments will help but may take months and consult dermatologist for it . your plastic surgeon may opt for silicon sheets method . Topical silicone sheets or gels are a popular method of diminishing hypertrophic scar formation. For now prevent it from sun exposure and give ice pack twice a day . Hope your concern has been resolved. Get Well Soon. Best Wishes, Dr. Harry Maheshwari