I don't know what choices you might be looking for with your answer, but here are some facts about Christianity in Ethiopia.
1. Christianity has been in Ethiopia since the 4th century. King Ezana II was converted to Christianity in 324.
2. The largest and oldest Christian church group in Africa is the Ethiopian Orthodox Tewahedo Church. (Tewahedo means "unified.") It was part of the Coptic Orthodox Church (which encompasses other parts of north Africa and the Middle East) until granted its own status in 1959 as an independent group with its own patriarch ("father" -- the church leader).
3. The "Coptic" churches do not accept the definition of Christ's dual nature that was expressed by the Council of Chalcedon (AD 451). There's a whole lot of deep theology stuff I could get into with that thought, but won't. Just note that the Coptic church (such as exists in places like Egypt and Ethiopia) has a somewhat different theological stance than what you would normally find in western Roman Catholicism or Eastern Orthodoxy.