At least seven sorority sisters at the University of Wyoming filed a lawsuit Monday in U.S. District Court after a transgender student was inducted into their local chapter.

The student, who is identified in the suit under the pseudonym "Terry Smith" and is a biological male who identifies as a transgender woman, has made members of the Kappa Kappa Gamma sorority at the university uncomfortable, according to an Associated Press report citing the lawsuit.

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Smith remains in the common areas for hours and stares at the women without speaking, according to the lawsuit.

"One sorority member walked down the hall to take a shower, wearing only a towel. She felt an unsettling presence, turned, and saw Mr. Smith watching her silently," it read.

Smith, who does not live in Kappa Kappa Gamma's sorority house, is also accused of not leaving a slumber party until two hours after the promised time and becoming "sexually aroused" while watching sorority sisters change clothes, according to the lawsuit.

"An adult human male does not become a woman just because he tells others that he has a female 'gender identity' and behaves in what he believes to be a stereotypically female manner," it read.

The national Kappa Kappa Gamma sorority, its nationwide council president, and Smith are named as defendants.

National officials put pressure on the University of Wyoming chapter to violate rules to induct the transgender student, the plaintiffs argue.

The suit "contains numerous false allegations," Kappa Kappa Gamma Executive Director Kari Kittrell Poole said in a statement.

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Kappa Kappa Gamma identifies as a "single-gender" organization, but it admits both "women" and "individuals who identify as women," according to the lawsuit.

The seven women are seeking damages reflecting their chapter's declining financial stability relating to Smith's induction.