A South Carolina woman who claims U.S. Senate candidate Alvin Greene showed her pornographic images says she's outraged that he won't step out of the race.

Camille McCoy of Summerville, S.C., a 19-year-old chemistry student at the University of South Carolina, said the 32-year-old Greene approached her inside an on-campus computer lab last October and asked to go to her dorm room after showing her obscene images.  

Greene won the Democratic nomination for U.S. Senate on Tuesday, stunning party officials and unleashing a flood of questions over his little-known background and self-run, low-budget campaign.

"He solicited her on campus in a secure, limited-access facility," McCoy's mother, Susan, said in an interview Thursday with FoxNews.com.

Greene, meanwhile, has declined to speak about the alleged incident, saying, "I'm innocent until proven guilty."

"I don’t want to focus on negative things," he said in an interview. 

Greene has not entered a plea or been indicted in the alleged incident, which could carry a prison sentence of up to five years.

The young women said that "sometime in late October," Greene sat down next to her inside a basement computer lab, which is only accessible to students and faculty, and asked if she liked football.

"I could tell immediately that he [Greene] didn't fit in with the other students because he was much older," she told FoxNews.com.

When McCoy responded, Greene allegedly said, "Well, look at my screen," and then proceeded to show her dozens of pornographic images.

McCoy said she told Greene that the images were "offensive" and "not funny," to which he allegedly replied, "Let's go back to your room."

The university's incident report, obtained by FoxNews.com, says Greene allegedly asked for the young woman's name, room number and phone number.

McCoy reported the incident a few days later on Nov. 4. The young women said campus police then came to her room at Bates residence Hall, which mostly houses freshman, and showed her pictures of "six faces" and asked her to identify the alleged perpetrator.

When McCoy pointed to Greene, she claims the responding officers told her that university security had "heard about him before."

The Richland County Sheriff's Office confirmed to FoxNews.com that Greene was later detained at its facility following his arrest.

McCoy and her mother say they're enraged that Greene is a candidate for U.S. Senate, adding that they had "no idea" the military veteran was even in the race until a reporter contacted them Wednesday morning.

McCoy says she also questions how the unemployed Greene managed to pay $10,400 to get on the ballot, claiming he needed his family to post the $500 bail at a bond hearing in November. 

"This is a candidate for a federal office who has the power to decide whether the young men of South Carolina go to war, how to handle the economy -- very important issues and he has no business being there," Susan McCoy said. 

"This is about a man who came on a college campus with evil intent. We're not running around saying we have an issue with Alvin Greene," she said. "Alvin Greene has made himself an issue by running for office."