What do you do if you have to shut down the nuclear power plant in bad weather for some reason? Build a new one as a backup? There's always a weak link if you want to find one, nuclear, wind or whatever.
You don’t. If your plant is properly designed, you’re absolutely immune to any extreme weather conditions.
Heck, we have nuclear-powered vehicles sent beyond our galaxy and they’re still working.
Nuclear power is literally the only form of energy we have that can work under virtually all environmental conditions.
Nuclear fission works even in vacuum.
The problem with nuclear is we can't have it until we have eliminated corruption. In that industry it can lead to a literal nuclear meltdown.