the centers for disease control say you can get your flu shot as long as you're not running a fever. if you simply have a mild illness (without fever) it's ok to get your flu shot. of course if you're allergic to eggs have had a previous serious reaction to the flu vaccine or have ever had guillain-barre syndrome then you should talk to your health care provider before you get vaccinated for influenza. given your symptoms i'd recommend mentioning them to the person or clinic administering the flu shots. they may have a policy about who they will or will not vaccinate based on physical symptoms like you describe. feel better soon!
if i am feeling flushed and sort of achy can i still get my flu shot now?