The official name of the Church is the “Catholic Church” period dot end of sentence.
This is the name of the Church from the 1st century. I say 1st century because Ignatius of Antioch, was bishop from ~69 a.d. to ~107 a.d, is the first in writing to call the Church the Catholic Church [letter to the Church at Smyrna]. Ignatius was a disciple of St John the apostle
Calling the Chuch the Catholic Church was apparantly not a novel name because no one took exception to the name from the beginning. Polycarp who was from Smyrna, a disciple of St John as well, also called the Church the Catholic Church. Irenaeus who was from Smyrna, and became bishop of Lyons, calls the Church the Catholic Church, in his work “Against Heresies”.
That’s why in the Nicene creed, the “Catholic Church” is an article of faith
“Roman” as a qualifier got traction in English speaking countries due to the Anglicans
oce.catholic.com/index.php?title=Roman_Catholic as you can see it was used as a pajorative…
St Peter’s in Rome is the central Church of the “Catholic Church” in the world. The Catholic Church has many rites united to the pope
ewtn.com/expert/answers/catholic_rites_and_churches.htm. The Latin/Roman rite is ~98% of all Catholics in the world. The other rites make up the remaining ~2%. All rites are 100% Catholic. All rites are equal in dignity and status.
The Catechism of the Church is titled “Catechism of the Catholic Church”.
This is the 1 and only Church established by Jesus, on Peter and the apostles.