It would take a lot to bring down a plane, but nonetheless, precautions have to be taken when it comes to bad weather. It’s also worth remembering that air traffic controllers will always direct aircraft above or around severe storms so they can avoid substantial turbulence or any potential damage to the plane.
The risk of flying in bad weather largely depends on the type of weather - and its severity, as generally, aircraft will be able to handle most weather conditions so long as the pilot’s visibility is not impaired.
A combination of adverse conditions - such as heavy rain, wind, and lighting - is sometimes enough to ground a plane, especially if temperatures are below freezing, which can cause the ground to freeze and will create slick, unsafe runway conditions which make take-off risky. As we discussed above, frozen rain can also stick to the plane itself.
Pilots and air traffic controllers take all the necessary precautions, and if there’s a risk that your plane can’t get to your destination safely, it won’t take off in the first place.