Final answer:
Alexander Hamilton could have been elected president if it were not for his personal enmity with Aaron Burr.
Step-by-step explanation:
Alexander Hamilton could have been elected president if it were not for his personal enmity with Aaron Burr, which ultimately led to his death in a duel with Burr. The feud between Hamilton and Burr dated back over a decade and was fueled by Hamilton's interference in Burr's political career. This disqualifying fact prevented Hamilton from having the opportunity to run for and potentially be elected as president.