Bottom line if you eat lots of dark leafy greens and and no sugar to maintain a basic blood stream, the inflammation from the vaccine won't do anything, but also covid won't be able to generate enough to block your throat barring extraordinary circumstances.
For pregnant women stay away completely, but the old at risk people that would care about a regular flu shot, the 15 to 20 year down the line stuff you don't care, so if you already did it, now always have a basic blood stream and should be ok.