Woodward's book is the latest to throw the Trump administration into damage-control mode with explosive anecdotes and concerns about the commander in chief.
Addressing the steady drip-drip-drip of excerpts from Woodward's book "Fear", CNN host Victor Blackwell said that Trump is not happy with former Fox exec Shine, who he feels has not been as effective as former Trump confidante Hope Hicks.
"I don't have any desire to beat this President up, but it's pretty clear that this White House is a reality-show, soap-opera presidency", Sasse, a frequent Trump critic said on NBC's "Meet the Press".
For many in Mr Trump's orbit, it is stunning to realise just how many people could have been the author of the piece.
"I wouldn't have used it", Woodward added of the Times opinion column during his first televised interview about his 19th book, Fear: Trump in the White House, which is scheduled for release on September 11.
"But we believe our first duty is to this country, and the president continues to act in a manner that is detrimental to the health of our republic".
But Trump focused equally on the "dishonest media" - specifically the Times, a paper he claims is "failing" despite its steady growth in subscribers since he took office. On accounts in the book that senior aides snatched sensitive documents off his desk to keep him from making impulsive decisions, Trump told The Daily Caller, "There was nobody taking anything from me".
Two unnamed officials who work in the Department of Justice and view themselves as "rebels" in the administration told the outlet that they "went around fist-bumping each other" when the Times published the op-ed.
Venting for a second day, Trump tweeted that "Fear: Trump in the White House" was the "exact opposite of the fact".
Carlson said he reached out to the White House for comment on the piece and will not accuse anyone of being the author until such information is confirmed.
In the damaging editorial, the official alleged that in public and in private, Trump showed preference to autocrats and dictators such as Russian President Vladimir Putin and North Korean leader Kim Jong-un, and displayed little genuine appreciation for ties that bind the United States to allied and like-minded nations.
President Donald Trump's former attorney in the Russian Federation investigation says scenes and comments in journalist Bob Woodward's explosive new book on Trump did not occur.
"When I heard about this, from notes of that NSC meeting - I've never heard anything like that", Woodward tells NPR.
Defense Secretary Jim Mattis, U.N. ambassador Nikki Haley and Treasury Secretary Steve Mnuchin also issued denials. The column attracted so much attention - as much for its existence as for what it actually said - that it raised the expectation that the author is someone powerful, she said.
Woodward on Sunday brushed off Trump's attacks.
Former chief economic advisor Gary Cohn, Woodward writes, once tried to prevent a trade disaster when Trump asked for paperwork pulling the US out of a bilateral agreement with South Korea.
The book's title comes from what Woodward calls an "almost Shakespearean aside" made by Trump.
"We have somebody in what I call the failing New York Times that is talking about, he is part of the resistance in the administration".
Unlike The Washington Post, the stated policy that guides the Times in its decisions about publishing op-eds does not exclude anonymous essays.
The Washington Post said in its Wednesday online edition that White House officials have been actively discussing who will replace Mattis.
On Amazon, Woodward's new book was ranked as the top-selling book on Wednesday.
Venezuela denounces U.S. military interference after NYT report
Tension has increased with what the Venezuelan government describes as a failed assassination attempt against Maduro last month. During a second meeting a year ago , the officers requested encrypted radios for secure communication, the Times reported.