Bay Street Theater in Sag Harbor will present “A Divine Evening With Charles Busch,” who will be accompanied by Tom Judson, on Saturday at 8 p.m. Mr. Busch, an actor, playwright, novelist, screenwriter, director, and drag legend, is the author and star of such plays at “The Divine Sister,” “Vampire Lesbians of Sodom,” and “The Tale of the Allergist’s Wife,” which ran on Broadway for almost two years and received a Tony Award nomination for best play.