If the Republicans take the House back in the 2022 midterm elections, they get to pick a speaker, and there's no requirement that the speaker has to be an elected representative.
"Can you just imagine Nancy Pelosi having to hand that gavel to Donald J. Trump?" mused Rep. Matt Gaetz, R-Fla., a vocal Trump loyalist, when he spoke to a crowd in Iowa this summer. "She didn't like when that Jan. 6 guy was sitting in her chair in her office. She is sure not going to like seeing Donald Trump sitting in her chair."