The term "exotheology" was coined in the 1960s or early 1970s for the examination of theological issues as they pertain to extraterrestrial intelligence. It is primarily concerned with either conjecture about possible theological beliefs that extraterrestrials might have, or how our own theologies have been or will be influenced by evidence of and/or interaction with extraterrestrials.

One of the main themes of exotheology is applying the concept of extraterrestrials who are sentient, and more to the point, endowed with a soul, as a thought experiment to the examination of a given theology, mostly Christian theology, occasionally also Jewish theology as well as Islam.

Source: https://en.wikipedia.org/wiki/Exotheology