A cheese which did not originate in Italy is _____________.

Muenster is indeed a cheese that did not originate in Italy, making it the correct choice in this context. This cheese has its roots in France and was named after the region of Münster, which is located in the Alsace area. While Muenster does share some similarities with Italian cheeses in terms of texture and use, such as being semi-soft and great for melting, its heritage is firmly planted outside of Italy.

In contrast, Gorgonzola, Parmigiano-Reggiano, and Provolone are all traditional Italian cheeses. Gorgonzola is a blue cheese originating from the Northern Italian region of Lombardy. Parmigiano-Reggiano, often referred to as Parmesan, is a hard, granular cheese produced in specific regions of Italy, primarily Emilia-Romagna. Provolone is an Italian semi-hard cheese that also has its origins in Southern Italy. Therefore, when considering the origin of these cheeses, Muenster stands out as the only one that is not Italian.