The two clashed in the boardroom on last Sunday's episode when Hall accused O'Day of trying to exert too much creative control over the 'Walk With Walgreens' task.
O'Day temporarily walked off the series in the wake of her fight with Hall, but assured fans on Twitter that she'd be back for this week's Celebrity Apprentice instalment.
Speaking with Us Weekly, O'Day revealed that her feud with Hall only grew worse when she returned from her brief hiatus.
"Arsenio gets worse in the next episode, when he calls me a whore, He doesn't want strong women to have too much of a voice," she claimed, adding: "Typical in this industry."
O'Day further vowed not to let Hall's verbal attacks distract her from becoming Donald Trump's next Celebrity Apprentice.
"I guess it's flattering that I upset [Hall] so much," she said.
Former Celebrity Apprentice stars Dee Snider and Debbie Gibson both condemned O'Day's abrasive attitude in a recent interview.
"She makes people nuts," Snider insisted.
The remaining Celebrity Apprentice competitors are Clay Aiken, Teresa Giudice, Lou Ferrigno, Penn Jillette, Lisa Lampanelli, Dayana Mendoza, Paul Teutul Sr, O'Day and Hall.
The Celebrity Apprentice continues Sunday on NBC.
> Celebrity Apprentice Donald Trump: 'It gets unbelievably brutal'
> Celebrity Apprentice Debbie Gibson: 'Teresa Giudice wanted me gone'
Watch a trailer for the next episode of The Celebrity Apprentice below: