"I want heads to roll," Patricia Carroll said in an exclusive interview with ABC News.
"The family is proceeding, with civil action against the TPD and Jameis Winston. And possibly the university."
Last month, the Florida state attorney decided not to charge Winston, who had faced felony charges after being accused of sexually assaulting the woman, a Florida State student at the time, at an off-campus apartment on Dec. 7, 2012.
His attorney, Tim Jansen of Tallahassee, said Winston had consensual sex with the woman. But Carroll said Winston raped her 19-year-old client, who withdrew from classes after the allegations resurfaced in media reports.
Those allegations were initially reported to Tallahassee police nearly a year ago, but the investigation wasn't turned over to prosecutors until November.
In the interview with ABC News, Carroll claimed negligence by the TPD, saying the way it handled the allegations led to the prosecutor's decision to drop the investigation.
"Absolutely you're going to see a civil suit," Carroll told ABC News. "You can not have law enforcement that is not held accountable."
Tallahassee police and Winston representatives did not immediately return ABC News' request for comment.
Winston won the Heisman Trophy last month and led the Seminoles to the national title earlier this week.