Trinitarian wicca is the correct name of the tradition often generalized into a practice called Christian Wicca. Trinitarian Wicca is a path of American Wicca or Non-British Traditional Wicca that works exclusively with the Christian Pantheon. This tradition is not eclectic nor is it ChristoPagan. Trinitarian practitioners celebrate the wiccan faith, but cannot be considered ChristoPagan because their devotion lies exclusively with the Christian pantheon and the celebration it's many trinities.
There are no church trappings or conflicts with the Bible, because they work directly with the Gods and Goddesses; church dogma does not have a place in there ritual structure. Concepts such as the original sin, salvation, baptism, heaven, hell, and satan have no place in Trinitarian Wicca. There is nothing fundamental about Christian or Trinitarian Wiccans.
As for Christian Wicca, the term Christian is used as a modifier for the pantheon observed in this particular practice of Wicca, much like the concept of Celtic Wicca. They as Wiccan practitioners focused on a Goddess-inclusive Christian trinity.
Christian Wicca was more descriptive, Trinitarian Wicca is far more accurate and far less controversial but it is hard to express the concepts of Trinitarian Wicca without using the term Christian in the definition.
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