What coughing fit? Didn’t hear a thing from the video. She coughed once into her hand shaking hand on stage, walked down the steps and that was the end.
Watch again. She lets out one little cough while still facing the mic. Hard to see and hear but it’s there. She doesn’t open her mouth very much, trying to not look like she’s coughing. It’s not very loud either so you may have to crank up the sound. Hard to do with her voice, I know.