Reality:  Most people with allergies can get an influenza vaccine without any problems. However, if you have had a severe allergic reaction to a previous dose of influenza vaccine or any part of the vaccine, talk to your health care provider. You may need to be tested for allergies before being immunized. People with egg allergies can be safely immunized with the live and inactivated influenza vaccines. 

Source: https://www.healthlinkbc.ca/healthlinkbc-files/flu-vaccine-myth-facts