"How can we come back from this in a way that's fair to president Trump?" Blanche said.
Justice Juan Merchan said he agreed there were some elements of Daniels' testimony that would have been better left unsaid.
"I think the witness was a little bit difficult to control," he said.
"I don't think we're at the point where a mistrial is warranted."
The motion came after several hours of riveting testimony by Daniels, who told the jury about the alleged sexual encounter with Trump and a $US130,000 ($A196,800) hush money payment she secured when he ran for president in 2016.
Daniels testified that she was eager to collect on the deal that bought her silence because she was worried he would not pay her if he won the election.
Prosecutors say Donald Trump covered up a hush money payment his former lawyer gave Stormy Daniels. (AP PHOTO)
Daniels told the New York jury she was determined to keep the incident private after being threatened in a parking lot in 2011 but changed her mind during Trump's 2016 presidential bid when he faced multiple accusations of sexual misbehaviour.
"My motivation wasn't money, it was to get the story out," she said.
Daniels, 45, spoke in detail about the encounter, which ultimately led to the first criminal trial of a former US president.
Trump has pleaded not guilty to charges of falsifying business records to cover up the hush-money payment to Daniels.
He has denied ever having sex with Daniels and his legal team has suggested that Daniels made up the story, as she was angling for a spot on The Apprentice, a popular reality TV show then hosted by Trump, a New York real estate mogul.
Daniels confirmed that she hoped he would cast her on the show following their encounter.
Daniels said Trump made sexual advances after inviting her to his hotel suite at a celebrity golf tournament in Lake Tahoe, Nevada.
She said he told her "this is the only way you're getting out of the trailer park".
Daniels testified she grew up as the daughter of a low-income single mother.
Daniels said she "blacked out" despite consuming no drugs or alcohol after Trump prevented her from leaving the room by blocking the door.
She said she woke up on the bed with her clothes off.
"I was staring at the ceiling and didn't know how I got there, I was trying to think about anything other than what was happening there," Daniels testified.
Daniels, whose real name is Stephanie Clifford, said she did not tell Trump to stop.
"I didn't say anything at all," she said.
The Republican politician, who served as president from 2017 to 2021, says the trial is an attempt to hobble his attempt to win back the White House from Democratic President Joe Biden in the November 5 election.
Wearing a black outfit and black glasses, Daniels testified that she worked in strip clubs and pornography after a childhood in which her single mother was often gone for days at a time.
She said Trump greeted her at his hotel suite wearing satin pyjamas.
She said she grew annoyed by Trump's frequent interruptions and asked him: "Are you always this arrogant and pompous?"
Trump then dared Daniels to spank him with a magazine and she obliged.
"He was much more polite after that," she said.
"That's bulls***," Trump appeared to say as he watched from the defendant's table.
The alleged encounter took place while Trump was married to his current wife Melania.
Daniels said she confided in only a few people about the sex.
She said she saw Trump at public events on several occasions in the years that followed but then fell out of touch with him after he did not put her on the show.
Prosecutors say Trump falsified business records to obscure the fact that he reimbursed Cohen for the payment.
They say that amounts to an illegal scheme to influence the 2016 election by buying the silence of people with potentially damaging information.
