If Woodrow Wilson were not to win the Presidency in 1912 -- either because he fails to win the Democratic nomination or due to some sort of miracle victory by Roosevelt at the polls -- what may become of him?
He presumably finishes his term as Governor of New Jersey (which ends in January of 1914). That's at least one solid year of being in the political wilderness before he gets a shot at going back at the White House in 1916, even assuming he wishes to do so. There wouldn't be a Senate seat up for election in New Jersey until 1916 either, so he cannot go the then-traditional route of Governor to Senator, should he wish to keep his hand in politics. To move from Governor to Congress would perhaps be too demeaning for a man as proud as Wilson.
He's not a lawyer, so he cannot do as other politicians did and return to the practice of law.
Does he return to academia? Surely any university with progressive (if not Progressive) views looking for a new leader would leap at the chance to have Wilson there; it seems unlikely, having headed up Princeton, that he could settle to be a mere professor again.
If it is a different Democrat who defeats Wilson in 1912 (probably Champ Clark), would they offer him anything he would be willing to accept? My view of Wilson's character would not suggest he'd accept a Vice Presidency or a Cabinet position, but might he accept an Ambassadorial post somewhere prominent?