There's a (slight) chance I might be going to hell by Laurie Notaro
Summary (from Publishers Weekly): When Maye Roberts's husband, Charlie, gets a tenure-track job at prestigious Spaulding University, childless, 30-something Maye leaves her tight-knit group of friends and job as a Phoenix reporter to move to the school's eponymous Washington State burg. While Charlie fits in easily, Maye, after a faculty dinner run-in with Dean Spaulding's wife, Rowena, feels lonely and bored. When she learns about the Sewer Pipe Queen pageant, a local tradition that guarantees the winner a town full of friends, she enters with her singing dog, inflaming Rowena further. As tensions thicken, Maye's rather notorious pageant sponsor, Ruby, may hold the key to Rowena's continuing rage and to the decades-old incident that sparked it.