Without launching into my usual nastiness, I cannot say how many times someone has reported to me that they knew someone who had some kind of nuclear exposure that "caused" their cancer.    This assumes that there is no other way to get cancer other than working with nuclear energy.

Both of my parents died from cancer and neither of them worked in nuclear plants.   In fact when they got cancer neither of them were given special insights to the cause of their conditions.

Many people die each year from automobiles, but there is no movement afoot to ban automobiles, even though I personally know many people personally who have definitively and unambiguously been killed by automobiles.

Moreover, there are many people who are definitively and unambiguously been killed by fossil fuel processing plants and fossil fuel waste.

I am more inclined than most to call for limits on automobiles and bans on fossil fuel wastes.

I have a term for the claim that only nuclear energy must be perfect to be acceptable.   I call it "nuclear exceptionalism."  

No form of energy is risk free.   Some energy is risk minimized.   That energy is nuclear energy.