The Office of President-elect is a thing.
"The president-elect of the United States is the person who conclusively appears to have won a presidential election in the United States but has yet to take office as President."
"There is no indication when that person actually becomes president-elect."
"Incumbent presidents who have won re-election for a second term are generally not referred to as presidents-elect as they are already in office and are not waiting to become president."
https://en.wikipedia.org/wiki/President-elect_of_the_United_States