An FBI inquiry has been ruled out by both Trump and Republican lawmakers and the Senate Judiciary Committee has scheduled a hearing for both her and Kavanaugh on Monday.
The confirmation fight comes just weeks before November 6 congressional elections in which Democrats are seeking to win control of Congress from the Republicans.
Ford says she will not testify until a full FBI investigation has taken place, but Senate Republicans insist she testify, either publicly or privately, on Monday.
"I'm extending the deadline for response yet again to 10 o'clock this evening. I'm providing a notice of a vote to occur Monday in the event that Dr. Ford's attorneys don't respond or Dr. Ford decides not to testify", Grassley said in a statement. Senate Judiciary Chairman Charles Grassley declined those terms, while OK'ing her request that Kavanaugh not be in the room while she speaks. Kavanaugh was seen at the White House on Thursday. Mr. Trump tweeted Friday morning.
"I ask that she bring those filings forward so that we can learn date, time, and place!" he tweeted.
"I was appalled by the president's tweet", she told United States media.
"We know that allegations of sexual assault are one of the most unreported crimes that exist".
Doing so would nearly certainly evoke the panel's handing of Hill and potentially alienate suburban women voters who could decide the elections and control of the House and Senate.
During the 2016 campaign, at least 15 women accused Trump of misbehavior ranging from sexual harassment and sexual assault to lewd behavior around women.
An alleged sexual assault would not have been the business of the Federal Bureau of Investigation, however. Dianne Feinstein (D-Calif.) in July, shortly after Trump chose Kavanaugh as the nominee for Supreme Court justice.
"If you want to have a longtime impact on what kind of country we're going to have for the next generation the single most consequential thing we can do is these lifetime appointment of men and women to the court who believe that the job of a judge is to follow the law", McConnell said. He told evangelical activists at the annual Values Voter conference the Senate will "plow right through".
McConnell's goal has been to confirm Kavanaugh by October 1, the start of the Supreme Court term.
Before Friday's tweet, Trump had won praise for keeping his comments about Ford respectful, even while continuing to back his nominee to the hilt.
She told the Post she remembered thinking, "I'm not ever telling anyone this".
The statistics surrounding sexual assault reporting suggest that a 15-year old high school girl might find it hard to muster the courage to upend her life and tell authorities about a sexual assault by a peer. Kavanaugh has repeatedly denied her allegations.
Ford has told the panel she would prefer the committee not use outside counsel to question her because that would make it seem too much like a trial, the attorney told the panel. A person familiar with the call said Ford could testify by next Thursday.
According to reports on Thursday, the Republicans are considering hiring a female outside litigator to handle the questioning, which would be televised nationally.
Ford's lawyers said on Tuesday she would testify before the committee only if the FBI first investigated her allegation.
The attorney said her client would prefer to wait for the FBI to investigate the accusation before agreeing to testify.
Biden, who chaired the Thomas hearing and is considering running for president, said he regrets the way Hill was treated.