[pogo101]

Well, it could be you're both right.

Smith College has no sororities, but like many "non-Greek" campuses, its students may form clubs, and some of those clubs may choose be secretive, selective, etc., e.g., Skull & Bones of Yale. Betty Friedan '42 (then Bettye N. Goldstein), as editor of Smith's student paper, wrote about the college's "secret societies."

Perhaps the lady to whom you refer was trying to get into a club like that, and simply refers to it as a "sorority" for the sake of convention.

[ex-Texan]

I think you are correct in your interpretation. In any event, she was horrified by the experience. She was ordered to get naked with a boy from Amherst. Pure and simple.