We are capable to focus on more than one thing at a time. Of course it doesn't make sense to instantly shut down all of nuclear power stations, just like it doesn't make sense to retire every fossil fuel powered engine at the same time or shut down coal from one day to the next. It's a long and slow process.
"The incidence of thyroid cancer in children, ordinarily very rare, had begun to increase markedly following the accident. Scientists have estimated up to 5,000 cases of thyroid cancer among residents who were children at the time of the accident"
"Plus an statistical excess of 9,000 cancer cases (leukemia + all solid tumors combined excluding thyroid) in the areas affected, and 5,000 people killed in this category".
"The study demonstrated increases in breast cancer incidence in all areas following the Chernobyl accident"
"the morbidity rate in Belarus for cervix cancer is as high as 36%, compared with 21% in Germany"
(Several sources, ten seconds search in ddg)