"He ordered that I don't swear anymore in my interviews but Irish people swear all the time, of course I told him where he could go."
It was then, she says, that "He went for me".
"He went upstairs and got a pillow and he had something hard in the pillow and I ran out of his house... We were running around his car, I'm spitting at him and he's trying to punch me, he's got this pillow he's trying to hit me with.
"Then I had to go and ring someone's doorbell which is what my father always told me to do if I got in a situation like that."
O'Connor also added that Prince was "into some pretty dark drugs" and that she never saw or heard from him again after that incident.
O'Connor also went on to allege Prince left one of his female band members with broken ribs after he "went at" her.
Prince was 57 when he died after being unresponsive in an elevator at his home in April 2016.
Autopsy results revealed he died from an accidental overdose of fentanyl — a drug 50 times more powerful than heroin.