You can’t stop nature, there is always going to be a storm. These storms can blow down trees or parts of trees, so action will need to be taken.
When a storm hits your area and you think a tree on your property has been damaged, the first thing to do is to secure the area after the storm, looking for damaged power lines and other dangers. If your power lines are down, call 9/11 immediately.
Once you are certain things are safe, get in touch with a good tree service who can handle your issues with the tree(s) as soon as possible.