As mentioned above, this is not unusual when you are waitlisted for a flight. In order to waitlist, the TA has to book you on an alternate flight with "confirmed" status. If the waitlist successfully clears, you will then have 2 confirmed flights and the TA will then be contacted by the airline and asked which one to cancel.
If you are concerned, I recommend calling the TA and asking. They should be able to explain the exact circumstances.
By the way, when flying LAX-DFW I always look for the 767 operated flights. Much more comfortable than the MD80 flights, especially in first class.