I quit getting flu shots because I would always get a respiratory infection (like bronchitis) after getting the shot. I'd read all the articles stating flu shots cannot make you sick so when I was in the hospital last year, I asked if I could get a flu shot. They discovered I was allergic to latex and they told me I could not get a flu shot because, although the serum doesn't contain latex, the application thingy does.
Latex allergies have become somewhat common in recent years but allergy tests in the 60's didn't include latex. If strawberries give you a rash, you're probably allergic to latex.
Although I'm disappointed I can't get flu shots, I'm glad to know why they made me sick. It wasn't my imagination afterall
This sounds like some of the shots would be safe for people with latex allergy. Worth talking to your doctor if you want to get it.
Flu Vaccine Information Available | American Latex Allergy Association