Megyn Kelly is facing criticism after revealing details about Donald Trump and his presidential campaign after his election victory.

The Syracuse native and Syracuse University alumna's new book, "Settle for More," says the president-elect tried to influence her and other members of the media with gifts. The Republican candidate allegedly offered free airfare and stays at his hotels in exchange for more positive coverage.

"This is actually one of the untold stories of the 2016 campaign: I was not the only journalist to whom Trump offered gifts clearly meant to shape coverage," Kelly wrote, according to an excerpt published by the Associated Press. "Trump tried to work the refs, and some of the refs responded... This is smart, because the media is full of people whose egos need stroking."

At left, Syracuse native Megyn Kelly attends 2016 Variety's Power of Women event in New York on April 8. At right, Republican presidential candidate Donald Trump speaks during a rally in Rome, N.Y., on April 12.

"The Kelly File" host added that Trump would work with "certain TV hosts" to come up with soft criticisms to avoid seeming biased. She did not name names, but Kelly previously suggested her Fox News colleague Sean Hannity was not a real "journalist" when Trump repeatedly appeared on his show and refused to "venture out to the unsafe spaces."

Kelly wrote that turning Trump down was an easy ethical decision, though admitted his "unscripted, unguarded" campaign made for great TV but was the equivalent of "television crack cocaine."

"Settle for More" also suggested Trump knew she was going to ask him about women at the first GOP primary debate, but Kelly later clarified on Twitter that she does not think he had any questions in advance. However, she did write that Trump got upset with a segment of "The Kelly File" that made him refuse to do an interview with her unless she phoned him personally.

Kelly tells Dr. Phil in an interview that will air on Tuesday that Trump objected to her reporting on accusations of rape that his first wife, Ivana, made under oath.

"Four days before the presidential debate that has now become so well-known and well-seen, he called me up and threatened me and made very clear to me that he was extremely displeased," Kelly tells the talk show host in a preview clip released by the Daily Mail. "I told him flat out, 'Mr. Trump, I'm sorry that you are unhappy but you don't control the editorial on 'The Kelly File.'"

"And that was it: He started screaming at me; he hung-up the phone, and the next time we met was that Thursday night [at the debate she co-moderated]."

Kelly did not elaborate on the alleged threat, but wrote in her book that Trump told her before the debate: "I almost unleashed my beautiful Twitter account against you, and I still may."

After the debate, he used social media to repeatedly criticize Kelly and attacked her in interviews with other media, claiming she had "blood coming out of her wherever."

Kelly also said Trump was close to her former boss, Roger Ailes.

"Every time he started in, I'd get a call from Roger (who was getting calls from Trump)," Kelly wrote. "Was I being fair to Trump? Was I being too hard on him? He felt the bar for skeptical Trump coverage should be higher."

"Settle for More," which also details Kelly's allegations of sexual harassment by Ailes, who resigned from Fox News Channel after being accused of sexual assault by former anchor Gretchen Carlson in a lawsuit, is in stores Tuesday.

Vanity Fair, which featured Kelly on the cover of the magazine earlier this year, blasted her for not opening up about behind-the-scenes interactions with Trump before he won the White House race last week.

"These are major accusations that speak to back-door dealing and suppression of the press," VF's Emily Jane Fox writes. "...Kelly is a journalist. She has a responsibility to tell the truth. If voters didn't care about that truth, that is on them. It is her job to report relevant facts and let the people decide what to do with them. To not only withhold these stories until after the election, but to also hang onto them in order to sell books is one of the more calculating, cynical footnotes in a highly cynical, calculating election season."

Kelly's "Dr. Phil" interview will air Tuesday in the Syracuse area at 10 a.m. on The CW and 3 p.m. on NBC. She's also scheduled to appear on "Good Morning America" Tuesday.