Even if the election was delayed, any President’s term of office ends 4 years after their inauguration (unless they are re-elected).
https://www.bbc.co.uk/news/world-us-canada-52326166
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What happens if the election is delayed?
If there hasn't been an election before the scheduled inauguration day, the presidential line of succession kicks in. Second up is Vice-President Mike Pence, and given that his term in office also ends on that day, he's in the same boat as the president.
Next in line is the Speaker of the House - currently Democrat Nancy Pelosi - but her two-year term is up at the end of December. The senior-most official eligible for the presidency in such a doomsday scenario would be 86-year-old Republican Chuck Grassley of Iowa, the president pro tem of the Senate. That's assuming Republicans still control the Senate after a third of its 100 seats are vacated because of their own term expirations.
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Under the Twentieth Amendment (of the US Constitution) the incumbent President's term ends at noon on January 20th. There are no provisions of law permitting a President to stay in office after this date, even in the event of a national emergency, except by the ratification of a new constitutional amendment.