There's a rather silly rumor out there to the effect that if the Presidential election is not decided by Inauguration Day, Nancy Pelosi will be President until things get figured out.
Nope. Not even close.
Please see Article 2, Section 1, third paragraph of the US Constitution.
...The Electors shall meet in their respective States, and vote by Ballot for two Persons, of whom one at least shall not be an Inhabitant of the same State with themselves. And they shall make a List of all the Persons voted for, and of the Number of Votes for each; which List they shall sign and certify, and transmit sealed to the Seat of the Government of the United States, directed to the President of the Senate. The President of the Senate shall, in the presence of the Senate and House of Representatives, open all the Certificates, and the Votes shall then be counted. The Person having the greatest Number of Votes shall be the President, if such Number be a Majority of the whole Number of Electors appointed; and if there be more than one who have such Majority, and have an equal Number of Votes, then the House of Representatives shall immediately chuse by Ballot one of them for President; and if no Person have a Majority, then from the five highest on the List the said House shall in like manner chuse the President. But in chusing the President, the Votes shall be taken by States, the Representation from each State having one Vote; A quorum for this Purpose shall consist of a Member or Members from two thirds of the States, and a Majority of all the States shall be necessary to a Choice....
Then follows text controlling the election of a Vice-President.
The red-highlighted section is where the action is. We can safely assume that most of the States will have certified their results by January 2 if not before, right? In that case, look carefully at the language: ".....votes shall be taken by States, the Representation from each State having ONE VOTE."
The majority of States in this country are RED States. All that's needed for the election of a President is ".....a Majority of all the States......" Between the certified results AND the 'one vote' requirement above, the election will be decided.
Just as important, the quorum only needs 2/3rds of the States......so if 16 States cannot certify their results, they don't count anyway.