A White House official said Trump misses the structure Porter brought as White House staff secretary and the team that he helped build.
"The president strongly, clearly and has consistently denied these underlying claims, and the only person who's been inconsistent is the one making the claims", Shah said.
Trump has yet to comment directly on Daniels' story.
Stephanie Grisham, a spokeswoman for first lady Melania Trump, appeared to allude to the allegations in a tweet Sunday night. "It'd be a shame if something happened to her mom.' And then he was gone".
She also said she had been intimidated to keep silent. And another guideline states that people may be disqualified from getting security clearance due to "deliberate omission, concealment, or falsification of relevant facts from any personnel security questionnaire", which means that Trump could have been denied clearance had he lied about his Daniels payoffs before getting security clearance.
"Mr Cohen had absolutely nothing whatsoever to do with any such person or incident, and does not even believe that any such person exists, or that such incident ever occurred", the letter said. A photo of her bruised face was released.
Uber exits Southeast Asia with sale to Grab
Grab will then reportedly expand its food delivery business GrabFood from Indonesia and Thailand to Singapore and Malaysia. Once that date arrives, you'll have to use the Grab app (Android and iOS) if you want to hail a ride in this region.
The president himself tweeted Monday morning that there was "so much fake news", but it was unclear if he was referring to the "60 Minutes" story.
"They made it sound like I had no choice", she said.
Trump spokesman Raj Shah rejected any suggestion that Trump had engaged in wrongdoing because his personal attorney, Michael Cohen, paid the porn star $130,000 from his own funds in hush money shortly before the 2016 presidential election.
In a February 13 statement, Michael Cohen said, "Just because something isn't true doesn't mean that it can't cause you harm or damage" in connection with the $130,000 he paid Clifford in 2016 to keep quiet about the alleged relationship with Trump.
Previously, Cohen has said neither the Trump Organization nor the Trump campaign was a party to the transaction with Daniels and he was not reimbursed for the payment.
"I can speak only for the White House".
Boyzone founder member denies contact with French nanny found on bonfire
Yet Kouider then fired her nannies, and accused them of stealing or being attracted to her "friendly" boyfriend, it was alleged. Giving evidence, Mr Walton said she would "go crazy" during their turbulent relationship, a court heard.
Shah, asked whether Trump believed Daniels, whose real name is Stephanie Clifford, was threatened, said, "No, he does not".
During the highly anticipated interview, Daniels claimed to have had a consensual sexual encounter with the president in 2006, and alleged that she was physically threatened in 2011 - though she wouldn't say who did the threatening.
The Sunday interview drew the biggest audience in years for the news programme 60 Minutes, said network CBS.
Daniels is not the only woman accusing Trump.
Raheem Sterling's plea to England fans: "Show us some love"
I would love to hear some positive notes going in, just to make the boys know that everyone's behind them. Raheem Sterling says he still has plenty to prove for club and country.