Thing is, most types of power generation have some kind of issue. Of the cleaner options, hydro, tidal, and geothermal can only be built in select places; solar panels create noxious waste at the point of manufacture; wind takes up space and interferes with some types of birds. Plus, wind and solar need on-grid storage (of which we still have little) to be able to handle what’s known as baseline load, something that nuclear is good at.
Nuclear is better in terms of death rate than burning fossil fuels, which causes a whole slate of illnesses ranging from COPD to, yes, cancer. It’s just that that’s a chronic problem, whereas Chernobyl (that perfect storm of bad reactor design, testing in production, Soviet bureaucratic rigidity, and poor judgement in general) was acute. We’re wired to ignore chronic problems.
In an ideal world, we would have built out enough hydro fifty years ago to cover the world’s power needs, or enough on-grid storage more recently to handle the variability of solar and wind, but this isn’t a perfect world, and we didn’t. It isn’t that nuclear is a good solution to the need for power—it’s one of those things where all the solutions are bad in some way, and we need to build something.