That doesn't happen, Pelosi would not be the President. It would be an interesting mess, though a horrible one for the US. Remember, all House members have elections in November -- without an election, Pelosi is not in Congress, meaning she is not in line to the Presidency.
It is an interesting Constitutional question what might happen, likely one that would have to be determined by the Supreme Court. It does appear Sen. Chuck Grassley could end up as President, until an election is held, as he is third in line (behind the Speaker of the House) and is not up for re-election until 2022 -- though you still have the question of if the Senate could convene for a new session (without the third of Senators up for election this year) and, if they are not, if that would disqualify him.
Actually there was a road to it, heavily convaluted, but something like president trump can't remain in office period without a re-election, the house would be returned to work by being chosen by some form or repersenatives forget which, the current make up would likly remain, then the speaker of the house would become president in lue of no one else there. The part I can't remember is, who votes for the house's repersenatives, might be govenors, or something but I forget heh.d
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