The Post said Ford originally contacted her representative in the House, California Democratic Rep. Anna Eshoo, whose office sent her letter to Feinstein. Eshoo said in a statement that she was "proud" of her constituent.
"In weighing her privacy and the consequences to herself and her family, she has demonstrated her willingness to risk these factors to present the truth," Eshoo said.
Iowa Republican Sen. Chuck Grassley, the Senate Judiciary Committee chairman, called the timing of the revelations "disturbing" in a statement, and a Republican source told CNN the committee's vote on Kavanaugh was still scheduled to take place Thursday afternoon.
Republican Sen. Lindsey Graham, of South Carolina, echoed Grassley's concerns and floated the possibility of hearing testimony from Ford in the coming days.
"If the committee is to hear from Ms. Ford, it should be done immediately so the process can continue as scheduled," Graham, a committee member, said in a statement.
Several Democrats joined Feinstein in calling for more scrutiny of the allegation before a vote.
Senate Minority Leader Chuck Schumer said in a statement that Grassley "must postpone the vote until, at a very minimum, these serious and credible allegations are thoroughly investigated."
"For too long, when woman (sic) have made serious allegations of abuse, they have been ignored," the New York Democrat said. "That cannot happen in this case."
Hawaii Democratic Sen. Mazie Hirono and Connecticut Democratic Sen. Richard Blumenthal, both members of the committee, likewise demanded a delay on the confirmation vote until further investigation. Their fellow committee member Rhode Island Democratic Sen. Sheldon Whitehouse called for "a pause, at a minimum," on Kavanaugh's nomination and time for the FBI "to take proper witness statements."
"Lying to an FBI agent in a formal interview is a crime, and an impeachable offense," Whitehouse said in the statement.