"It's very obvious", she said.
In her book, Unhinged, a copy of which was first obtained by the Guardian ahead of its publication next week, Manigault Newman insisted that tapes did exist, but did not say she heard them, or that she had heard Trump use the word herself. She also makes the accusation that he is losing his mental faculties.
The White House has not responded to the tape.
In response to the clip, Manigault Newman, 44, told Chuck Todd that Kelly was trying to threaten her into silence.
Shortly after Manigault-Newman was sacked in January the White House created a new policy that bars staff and guests from using personal cellphones in the West Wing. "I had a blind spot when it came to Donald Trump".More news: 'Another head scratcher': Canada adds 54100 jobs in July
"I am so glad that I did because now we can put to bed all those false rumors", she added.
Manigault Newman worked in the White House for almost a year as an assistant to the president and the director of communications for the Office of Public Liaison.
"He asked me, 'Omarosa, what do you think about me getting sworn in on The Art of the Deal?' " Manigault Newman writes.
Another claim, one that may give life to meme creators is that she walked in on the President eating a crumpled up piece of paper after a meeting with his then personal lawyer, and now federal witness, Michael Cohen.
It is unclear from the recording what specific "integrity violations" Kelly believed Manigault Newman had committed, but her differences with Kelly have been noted before and make up something of a subplot in her recent book where she parts starkly with Trump and criticizes his character.
'To the many dozens of #journalists who called me, questioning @OMAROSA claim in her new book that @POTUS @realDonaldTrump took a note from me, put it in his mouth and ate it.I saw NO such thing and am shocked anyone would take this seriously, ' he said.
White House aides are exploring what punishment she could face for the purported recording in the Situation Room and in the building, according to a senior administration official.
"Um, are not staff supposed to check all electronic devices in a secure repository before entering the Situation Room?" In the recording, John can be heard telling Omarosa that if she chooses to walk away without any trouble, her reputation won't be damaged.