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LeAnn Rimes - who, according to E! News, is engaged to Eddie Cibrian - skipped Shape's party Thursday night to honor her third time appearing on the magazine's cover.

Her rep insists it had nothing to do with a letter of apology editor Valerie Latona sent to readers who were upset at the November cover featuring the country crooner, who famously had an affair with Eddie Cibrian on a Lifetime movie set last year.

She has also canceled a show Friday at the Turning Stone Resort and Casino in Verona, N.Y.

"LeAnn is proud of her Shape cover and was more than happy to attend the event, but unfortunately caught the flu and under doctor's orders was advised not to travel or go out," her rep tells "She appreciates all of the support and sincerely regrets not being able to perform for her fans this weekend. She looks forward to seeing them in January at the rescheduled dates."