Republican Sen. Mike Lee of Utah. Tasos Katopodis/Getty Images President Donald Trump tapped Judge Amy Coney Barrett as his Supreme Court nominee on Saturday. Democrats, including senators Dick Durbin and Cory Booker, argued Barrett should recuse herself from any cases involving the election if she is confirmed before November. But Republican Sen. Mike Lee said it's "up to her." "President Trump has said, 'I will not accept the result of the election unless I win.