Answer
The answer is "Carmen". Unlike the other operas listed, Te Kanawa never performed in Bizet's "Carmen". She gained fame for her interpretations of roles in Mozart's "The Marriage of Figaro" and "Don Giovanni", as well as Strauss's "Der Rosenkavalier" and Puccini's "La Bohème". Her absence from "Carmen" is notable as it is one of the most popular and frequently performed operas worldwide.