When you create a Story yourself, you are the Creator.
Depending on whether you're the Creator of the Story, a Co-Creator or a Viewer, you have different privileges.
Here's a chart that describes what each person can do.
Simplified, if you make someone a Co-Creator (or you've been made a CoCreator), you can do everything a Creator can do except delete the Story.
Be sure you trust your Co-Creators. They have a lot of power 💪