Air traffic has extremely rigid guidelines about when planes can and can't fly. It's not a matter of opinion, it's tightly regulated aviation law.
In bad weather, yes, planes sometimes have to divert - but they very very very rarely fall out of the sky.
Lastly, most people are aware of the news and weather around them and capable of making their own decisions whether to fly or not.
Gently - this is your fear of flying clouding your view of the facts.