I'm sure you know more about this than I do, but I found this simple explanation, which means I have a shot: 6. The next pope doesn’t necessarily have to be a cardinal. There are only two requirements for becoming pope: being male and being baptized into the Catholic Church. But although this technically leaves hundreds of millions of people eligible, they shouldn’t hold their breath. A non-cardinal hasn’t been chosen since 1378, when the selection of Urban VI brought about the Western Schism. And this more detailed explanation, which would rule me out, not because of marriage but because of parts of (1) and (4) and (5): A person who is elected as Roman Pontiff must be ordained a bishop immediately after election, if he does not already hold such office. Second: Can. 378 §1. In regard to the suitability of a candidate for the episcopacy, it is required that he is: 1/ outstanding in solid faith, good morals, piety, zeal for souls, wisdom, prudence, and human virtues, and endowed with other qualities which make him suitable to fulfill the office in question; 2/ of good reputation; 3/ at least thirty-Five years old; 4/ ordained to the presbyterate for at least Five years; 5/ in possession of a doctorate or at least a licentiate in sacred scripture, theology, or canon law from an institute of higher studies approved by the Apostolic See, or at least truly expert in the same disciplines.