Catholic church and Western Church

Catholic church noun - Any of several churches claiming to have maintained historical continuity with the original Christian Church.

Western Church and Catholic church are semantically related. In some cases you can replace phrase "Western Church" with "Catholic church", this phrases are similar.

Western Church noun - The Christian Church based in the Vatican and presided over by a pope and an episcopal hierarchy.

Catholic church and Western Church are semantically related. You can use "Catholic church" instead a noun phrase "Western Church".