Can Elon Musk become speaker of the House if he's not natural born citizen?

Contributing sentiments towards policy:

50% : It isn't clear what a new spending bill may look like now that Trump and Musk have asked for a streamlined budget.
46% : Just as was the case with Trump, Musk could become speaker because you don't actually need to be a House member to hold the position.
44% : The move by Musk highlights the significant role that he, even as an unelected official, might play in Trump's administration as the co-head of the newly created Department of Government Efficiency (DOGE).
39% : The question came up last year when Republicans floated the idea of pushing Trump into the role after Kevin McCarthy was voted out.
29% : In the event Trump could not continue his presidency and the vice president couldn't either, Musk could not serve as president.
17% : Musk's vocal opposition preceded Trump and Vice President-elect JD Vance speaking out against the bill.
13% : Some lawmakers criticized Musk and Trump after they came out against a short-term spending compromise orchestrated by Johnson to keep the government open until the president-elect's new term.

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