He was always a Christian. What bearing would that have?
Eliot was a Unitarian until 1927, after reading Ulysses and writing The Waste Land.
What bearing would that have?
Since the two main protagonists in the novel are atheists, one esthete and the other science-driven, a Unitarian would not be bothered by the essence of their lives, but a Christian, particularly an "anglo-Catholic" as Eliot described himself, might be bothered. cf. https://www.litcharts.com/lit/ulysses/themes/religion-atheism-and-philosophy