Dickinson, 59, first opened up to Entertainment Tonight last month, after several other women had come forward with similar stories of abuse.
In a conversation with CNN on Monday, Dickinson recalls feeling "humiliated" and "disgusted" by Cosby's alleged rape. "I had revulsion toward Cosby, and Cosby was a very powerful man and probably still is. I trusted this man, and I … compartmentalized it, because I was embarrassed."
As she previously claimed, Cosby, now 77, had reportedly flown Dickinson out from rehab to his home in Lake Tahoe in 1982 where he offered her a glass of red wine and a pill for her menstrual cramps.
"Because of his demeanor and the promise of a career, I trusted him," Dickinson insisted, and had no reservations about taking the pill.
While her memories of the night in question are hazy following the pill-induced blackout, the last thing she says she remembers is "Bill Cosby mounting me, like the monster that he was."
"I remember more specifically waking up," Dickinson went on, "and that he, there was a lot of pain downstairs. There was semen all over me and my pajama bottoms were off and the top was opened. At that point – fight-or-flight – I just packed up and I got the hell out of there."
Dickinson wants just one thing from Cosby – an admission of guilt.
"I would like Cosby to come out and at least acknowledge that he is a pig, that he is a monster and that he raped me."
But Cosby's lawyer Martin Singer says Dickinson's story "is a lie."
"There is a glaring contradiction between what she is claiming now for the first time and what she wrote in her own book and what she told the media back in 2002," Singer says in a statement to PEOPLE. "Ms. Dickinson did an interview with the New York Observer in September 2002 entitled "Interview with a Vamp" completely contradicting her new story about Mr. Cosby. That interview a dozen years ago said 'she didn’t want to go to bed with him and he blew her off.' "
"Her publisher Harper Collins can confirm that no attorney representing Mr. Cosby tried to kill the alleged rape story (since there was no such story) or tried to prevent her from saying whatever she wanted about Bill Cosby in her book," he continues. "The only story she gave 12 years ago to the media and in her autobiography was that she refused to sleep with Mr. Cosby and he blew her off. Documentary proof and Ms. Dickinson’s own words show that her new story about something she now claims happened back in 1982 is a fabricated lie."
Meanwhile, singer Jill Scott has jumped to Cosby's defense on Twitter.
After a Temple University alum asked Scott to sign and share a petition on Nov. 24 asking the University "to end their relationship [with] Bill Cosby," (later, they did) the 42-year-old singer replied: "oh ok. So they've proven the alleged allegations? I didn't know. Will they also be giving him back the millions he's donated?"
Her Tweet didn't go over well with her near-million followers, who immediately expressed their displeasure.
However, the matter didn't end there. On Sunday, Scott expressed her support for Cosby on Twitter once again, calling the allegations "insane" and that she "know[s] Bill Cosby."
@SimplyBerry u know Bill Cosby? I do child and this is insane. Proof. Period.— Jill Scott (@missjillscott) November 30, 2014
Scott continued to go back and forth with her followers before sending out a Tweet urging women to "GET EVIDENCE" if raped.
Rape is a despicable, cowardly crime. If you've been raped- plz do NOT shower, go to police IMMEDIATELY, have a rap kit done. GET EVIDENCE.— Jill Scott (@missjillscott) December 1, 2014