Rivers, 71, accused Nielsen of being a former drug addict, marrying Sylvester Stallone for his money and appealing to the audience with "cheap tricks and lame jokes" during a shocking interview on her forthcoming show The Joan Rivers Position.
"You don't like me and I don't like you, so why did you come on the show? I know you'll do anything for money but we didn't pay you that much. If you don't want to be here, f**k off."
But when Rivers mocked Nielsen's Italian boyfriend Mattia Dessi's grasp of English, and ordered the audience to ignore the star's "attention-seeking" actions, Nielsen grabbed Dessi's arm and walked off the show a second time.
The program's executive producer Graham Stuart says, "Joan is amazing and this was a classic talk show spat between host and guest. Brigitte pulled off her microphone and stomped off.
"Some very strong words were exchanged from both sides, but Joan speaks as she finds, which leads to her saying some outrageous stuff. Welcome to planet showbiz."
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