I can understand why you'd be wary of flu shots and vaccinations in general. Depending on your relationship with your doctor you might be able to have a more helpful discussion about the COVID-19 vaccination than you imagine. In any case, perhaps it's more useful to compare getting the vaccine to getting COVID-19, rather than comparing the vaccine to a fantasy in which nothing bad happens. In the more realistic comparison both the vaccine and the infection have the (hypothetical!) potential to making your immune system go a bit nuts, though such a reaction to the vaccine doesn't seem to have been reported. The vaccine is very likely to be safer than the infection, since COVID-19 seems to kill about 1-2% of the people who get it, and disable many more. So, even if you are scared, the disease should perhaps be scarier than the vaccine. Maryland, where both of us are located, is doing poorly right now in terms of new infections, hospitalizations, and deaths. It's one of 12 states where deaths are currently increasing.
I hope this is helpful. My only purpose in writing is to offer what might be a different way the consider the risks and benefits.