https://www.wlu.edu/student-life/student-activities/greek-life/greek-organizations has links to fraternities (nationals) and sororities (W&L chapters).
The sororities appear to be highly, though not completely, racially segregated, based on the photos on the chapter web sites. Fraternity chapter web sites are not linked (the links go to national organization web sites). At other schools, fraternities tend to be less racially segregated than sororities, but may still be very racially segregated at some schools.
With 80%/75% of women/men joining sororities/fraternities, making them the presumed center of social life, it may mean that attending W&L risks resulting in the student’s social interaction being mostly racially segregated.