Howdy ronparritt,
It sounds like a TV show keeps downloading after you delete it. We know how important this is for you, and we will help get you to the right place for answers.
The first thing to try is the steps listed in this support article. These steps can often resolve this type of issue:
If you can't delete your movies or TV shows
• Hide the item: Hiding an item removes it from your Library when you're signed in with your Apple ID.
• Turn off computer syncing: If you used a USB cable to manually sync movies or TV shows from your Mac or PC to your iPhone, iPad, or iPod touch, you can turn off syncing to remove the content.
• Check if the item is downloaded: If you see
next to a movie or episode, it's downloaded on your device. If you don't see
, the movie or episode isn't downloaded.
This info is located in this support article: Delete movies and TV shows in the Apple TV app - Apple Support
Take Care!