Is Kayleigh McEnany out as the White House press secretary? No, that's not true:
The claim is based on a misunderstanding of her reference to her former role: press secretary for Donald Trump's 2020 campaign.
The claim originated from a tweet (archived here) published by Twitter user Frank Giugliano on October 5, 2020. It read:
Kayleigh McEnany's Twitter profile says: 'Former Press Sec for Donald Trump.' Is she out?
This is what the post looked like on Twitter at the time of writing:
(Source: Twitter screenshot taken on Mon Oct 5 12:11:50 2020 UTC)
Before being appointed as the White House press secretary, Kayleigh McEnany was the press secretary for Trump's 2020 re-election campaign. This is what 'Fmr Press Sec for @realDonaldTrump 2020 campaign' on her personal Twitter bio refers to, not her current position as the White House press secretary.
A subsequent tweet by Twitter user Andy Ostroy also on October 5, 2020, cropped the screenshot of McEnany's Twitter bio in a way that left out the last part of the sentence.
"former" press secretary? pic.twitter.com/Mr5lpxe2ls
-- Andy Ostroy (@AndyOstroy) October 5, 2020
In this version, it looked like it only said 'Fmr Press Sec for @realDonaldTrump,' which added to the misunderstanding that McEnany had quit or been fired as the White House press secretary. As of this writing, she retains that title and remains in that position.