Texas Attorney General Ken Paxton.The prosecution has rested its case in the Texas Attorney General Ken Paxton’s impeachment trial. Meanwhile, a woman prosecutors expect to testify about an extramarital affair with Paxton suddenly appeared Wednesday at his impeachment trial. They called Laura Olson to take the stand, but her testimony was delayed for hours before Lt. Gov. Dan Patrick, who is acting as the trial’s judge, said toward the end of the day that Olson would not testify. He provided no further explanation but said both sides had agreed.