Could you possibly enable someone to delete their own thread if they just made it and no one has posted under it yet.
I don't think that can be done for security reasons.
However, if you put a note in bold capitols (like shout) at the bottom of the first post saying something like, "I ask the Council to remove this my thread, so please don't post under it as you will lose your post when a Moderator deletes the thread." It will probably be removed when a Moderator first sees it.
If you want it removed faster, follow-up that up with an email to firstname.lastname@example.org
requesting the removal of your thread, giving its URL (the http://www.... thingy near the top of your browser), and it should be gone in a few hours, if not sooner.
The email by itself won't get the job done, for we may not know it is actually you making the request.