Where are you flying from/to? Was there a later departure from your point of origin that would have given a shorter connection at DOH? It is not just about whether there is an earlier connecting flight ex-DOH once you arrive there, but also whether you have booked the shortest available journey between your origin and destination that day.

That all said, the hotels available through Discover Qatar are so cheap that it's probably not worth stressing too much about the stpc if it doesn't come off.