a problem for which no acceptable solution is apparent

When faced with a Dilemma, a Main Character can see no way out. The only options are to change his very nature by accepting one of the solutions he previously would not, or by holding out in hopes that, in time, an acceptable solution will present itself. Circumstances will force the Main Character to either Change or Remain Steadfast before the problem is resolved. The question then becomes, is the dilemma actual, meaning that the Main Character must Change or Fail, or is the dilemma merely apparent, and by Remaining Steadfast a previously unknown and acceptable solution will pave the way to Success?