Stands to reason if you don't have one you can't delete it.

It means they can't delete the template. This has been put in place to keep new authors who don't understand our system dealing with the editor's rejection note by deleting the quiz and trying again in an "easier" category, rather than just making the asked-for changes. We used to waste a lot of time writing out detailed notes for a quiz, and then the author would just delete and make exactly the same errors in their next quiz. And their next.