Like feeding cold stored milk isn't bad for a baby, cold colostrum isn't bad either. But if it's frozen colostrum like an ice cube you might have to bring down the temperature to feed it in liquid form. Even though it's produced in small quantities, it's packed with nutrition. It is rich in immunologic components, such as IgA, lactoferrin, leukocytes, and developmental factors such as epidermal growth factor.  Colostrum works as a natural and safe vaccine, and it protects and lines the baby's digestive system and prevents the baby from developing a range of infections and illnesses. So feeding your sick baby is quite right.