This isn’t a corporation where there are no requirements (well, other than having more money than one person should have, but I digress) for someone being named Chairman of Board or even CEO. Without being, first and foremost, BISHOP of Rome, the title “Pope” has no meaning at all. The office itself derives from that of BISHOP of Rome. A non-bishop elected in Conclave would be nothing more than a “pope-elect” until such time as he is ordained bishop and legitimately assume authority over the See of Rome. IOW, he would have as much authority as a non-bishop named (or, as in the past, elected) bishop has before he is actually ordained a bishop. Which is to say he would have no authority whatsoever.