According to Flu.gov, one of the main symptoms of the flu is actually having a higher than average body temperature (100 degrees Fahrenheit or higher). It can, however, cause a person to experience chills as a symptom, which may be mistaken for having a lower body temperature.
As WebMD explains, many typical flu symptoms overlap with the symptoms for the common cold. The flu is typically more intense than the common cold, with the latter having more prominent sinus symptoms, such as sneezing, runny nose and sore throat. The flu often manifests with a fever and more severe symptoms, including high body temperature, headaches and an overall feeling of exhaustion.