The church fathers believed in the doctrine of the Trinity, which states that God exists as three persons in one essence: the Father, the Son (Jesus Christ), and the Holy Spirit. They saw the Trinity as a fundamental aspect of Christian belief, emphasizing the unity and distinctiveness of each person within the Godhead.
The church that does not believe in the doctrine of the Trinity is the Unitarian Universalist Church.
The Church of England and Anglican Church in general, the Lutheran Church and the Roman Catholics certainly do, although there are others.
The Puritans accepted the doctrine of The Trinity. They did not accept many other tenets of the English church. They felt the church to be too much like Roman Catholicism.
Members of the Church of Jesus Christ of Latter Day Saints (commonly called "Mormons") do not believe in the Incarnation, that is a Catholic, Orthodox, and Protestant Christian doctrine. The Incarnation is the doctrine that the second person of the trinity (God the Son) assumed human form and is therefore both God and Man. Mormons do not believe in the doctrine of the Trinity and therefore do not believe in the doctrine of the Incarnation.
Since there are MANY churches with the word Trinity in their names, there is no way to answer this question unless you tell us which particular one you're asking about. But it isn't a regional religion! And most likely it's Christianity, since the Trinity is a Christian doctrine.
John M. L. Young has written: 'By foot to China' -- subject(s): History, Nestorians, Missions, Church history, Church of the East 'Karl Barth's doctrine of the trinity' -- subject(s): History of doctrines, Trinity
Cardinal Newman
Trinity Church - Antarctica - was created in 2004.
Old Trinity Church was created in 1711.
Trinity Church Lansingburgh was created in 1807.
Trinity Church - Manhattan - was created in 1698.
Trinity Evangelical Church was created in 1929.