Interesting to note also is that during the 3-mile-island incident, the worst nuclear disaster to date in the USA, the average radiation exposure to persons within a 10-mile area was 8 millirems - just about the amount of radiation experienced during a typical medical X-ray.
https://en.wikipedia.org/wiki/Three_Mile_Island_accident#Health_effects_and_epidemiology
If radiation is the greatest concern, you will typically absorb more by working in a large concrete building. Or eating too many bananas.
Bottom line, its a truly negligible concern given the fantastic amount of cheaply available energy nuclear power generates, combined with the enhanced technology and security gained from 40+ years experience building and maintaining these facilities.
Of course, as with many issues, once fear (or any strong, primal emotion, really) becomes involved in human decisions, we often fail to choose the wisest or most rational course of action.