Goodwin said if the university decided a student violated a code of conduct on campus, the individual would then be called in and charged with a specific violation. The student would respond to the allegations, either in a formal meeting with a hearing officer or with a disciplinary hearing board depending on the severity of the charge, she said.
If the university determined that a serious threat had been made, suspension or expulsion may be considered, she said.
"We want to make it clear that this letter in no way reflects the values of Delta Gamma as an international fraternity or our chapter at the University of Maryland," according to a statement released by Delta Gamma's national organization.
"The processes by which Delta Gamma handles member discipline are confidential, but we have a team of women working with the chapter to take all appropriate action including protecting, educating and supporting the chapter members in the aftermath of this event."
University of Maryland Delta Gamma chapter president Rachel Norris declined to comment to ABC News.
ABC News' Lauren Effron contributed to this story.