She held her own and was not going to be bullied off the stage. She showed strength and am glad she stayed. If she walked off, it would have made her look As if she was not able to handle the heat he was throwing at her.
He wasn’t fazed and neither were his viewers. Ideologues have impenetrable shields about them like “Knucklehead Smiff!”
It was equally important for her. She has to live with how she reacts more-so than about how they react.