To Delete an Object from the Desktop Background

When you delete an object from the desktop background, the object is not moved to Trash, but is immediately deleted from the desktop background. The Delete menu item is only available if you select the Include a Delete command that bypasses Trash option in the file manager File Management Preferences dialog.

To delete an object from the desktop background, right-click on the object, then choose Delete.

You cannot delete the This Computer or Trash desktop background objects.