A judge has dismissed a lawsuit filed by members of the Kappa Kappa Gamma sorority chapter at the University of Wyoming.

The members had sought to prevent a transgender woman, Artemis Langford, from joining the chapter. The lawsuit questioned whether sorority rules permitted a transgender woman’s admission.

However, Wyoming U.S. District Court Judge Alan Johnson ruled that he could not override the private organization’s definition of a woman, emphasizing that the sorority’s bylaws did not explicitly define gender.

“With its inquiry beginning and ending there, the court will not define a ‘woman’ today,” wrote Johnson.

The case comes amid questions about transgender students in schools at all levels. Across the country, courts are grappling with the participation of transgender students, particularly transgender women, in traditionally female areas. Conservatives maintain that schools should only consider a student’s biological sex whereas liberals generally believe schools should accommodate a transgender student’s preferred identity.