How does a church become a church?

King Henry viii and his marrige to Catherine of Arogon not of producing a male succesor was tactfully and planningly seduced by Anne Bolyne who convinced the King to marry her and divorce Catherine...

All Churches, including the Eastern ones, that remained loyal to the pope in Rome are Catholic; the Latin Church is just one of 23 Catholic Churches.

Catholic masses were all spoken in latin once upon a time. They aren't this way now, though latin is still spoken in the Vatican. They aren't latin churches and never were; they spoke latin.

No, the Greek Orthodox church is a part of the Eastern Orthodox Churches.

The Catholic Church remained the Catholic Church. It cannot "become" anything else, as Jesus sent the Holy Spirit to guide it until the end of time. It will remain His Body, it will remain One, Holy,...