Nuclear waste is a relatively simple storage problem to solve. The volume is small, and the half lives are short enough with modern designs that it's realistically feasible to kick the can down the road for a few centuries, at which point the waste is benign. Still more radioactive than ambient, but effectively harmless. Current reactor designs do not utilize all of the energy, so not only are modern reactors safer, but they produce more power per unit of fuel. I'm not talking about thorium here, but with the right material advances, that could be an option in the future as well.
Nuclear is green by all conventional definitions of the word in an environmental context. It produces effectively zero emissions beyond heat during regular operation. It does not create particulate pollutants. It can produce power on demand sidestepping large scale storage and their corresponding ewaste/manufacturing emissions problems that you see with most renewables. It does not require large scale environmental destruction the way hydro does through damns. It does not kill birds. It is incredibly space efficient. It can be built anywhere power is required. The list goes on and on.
There is no argument to be had here, not even semantic dick waving. Nuclear is green. If you disagree, you're retarded. It really is that simple.