The term "Catholic Church" was coined in 106 AD by St. Ignatius in his epistle to the Smyrnaeans:
"Wherever the bishop shall appear, there let the multitude [of the people] also be; even as, wherever Jesus Christ is, there is the Catholic Church."
Augustine continued the formalization of the term Catholic in the 4th century: "In the Catholic Church, there are many other things which most justly keep me in her bosom. The consent of peoples and nations keeps me in the Church; so does her authority, inaugurated by miracles, nourished by hope, enlarged by love, established by age. The succession of priests keeps me, beginning from the very seat of the Apostle Peter, to whom the Lord, after His resurrection, gave it in charge to feed His sheep (Jn 21:15-19), down to the present episcopate.
"And so, lastly, does the very name of Catholic, which, not without reason, amid so many heresies, the Church has thus retained; so that, though all heretics wish to be called Catholics, yet when a stranger asks where the Catholic Church meets, no heretic will venture to point to his own chapel or house.
The term "Catholic Church" was finally formalized in 380 AD by Theodosius I, in response to the myriad heresies which had sown confusion across the evangelized world. Christianity thereby became the official religion of the Roman Empire.
The term "Catholic Church" was coined in 106 AD by St. Ignatius in his epistle to the Smyrnaeans...
No one has a problem with the word "Catholic" - as it means "universal". And all believers in the Lord Jesus Christ are of the same body of Christ. No matter where they are or who they are ("Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house..."). The 'disagreement' arises when the Church of the Roman Empire usurps this name to apply it strictly to themselves.
...Christianity thereby became the official religion of the Roman Empire.
It seems odd when reading Acts, and the Epistles, to imagine the simple, God-fearing churches as having 'evolved' into this creature of the Roman Empire - with its purple robes, legions of officers, giant marble cathedrals, gold, and the such... But maybe that's just me...