I am scared, OP, but I do suffer from anxiety and world events and fear of war do really affect me.
What others have said have made a lot of sense rationally.
In addition, I do try and think about the fact that car accidents happen every day, terrorist attacks happen with increasing regularity, and yet I don't worry about getting in a car or change my plans to go to a city location or event, and in the probability of statistics those things are more likely to hurt me than war.
I also find I worry a lot more when I am off work (teacher) and have less to think and focus on.
I also think I am going to stop reading the news, as suggested by previous posters, as you don't get the full story, and it is often sensationalised so people read and react to it. I stopped watching the news a few years ago, but I find myself religiously checking BBC news. I set limits on myself so I don't check after 9pm (and then stay awake worrying all night!). I think I'm now going to stop reading it altogether - after all, there's nothing I can do.
Finally I might screenshot this to remind myself of it all when I inevatibly worry again (which may well be in a matter of hours!)