This thread is very funny. I know the OP didn’t mean it that way, but it still makes me smile.
As Zekariya points out, “Tewahedo” means “being made one” or “unified”, in reference to the miaphysite belief shared by all the Oriental Orthodox Churches. It is related to the Arabic word “tawhid”, which is most often heard by Westerners in explanations of Islamic “monotheism”. The word “Orthodox” is the same in basically all languages (okay, okay…fine, Slavs…“Pravoslavniy”…whatever). The full name of the Ethiopian Church in the original is “Ye-It’yop’iya
Ortodoks Tewahedo Betakristyan” (“Betakrisytan” = “House of the Christians”, or “Church”).
I’m going to have to disagree with Zekariya’s idea that the Church was established by the Copts. I know it’s a matter of perspective, as it is true that St. Athanasius the Apostolic sent the first bishops, but we should remember that St. Frumentius/Abba Selama was not himself a Copt. He was a Syriac person, and Ethiopian tradition itself regarding the founding of their own Church credits Abba Selama and his brother Adesius (I can’t remember what, if any, honorific he is given by the Ethiopians) as the ones who established Christianity in Ethiopia, with certain Biblical antecedents (i.e., the Ethiopian eunuch). Anyone interested in the Orthodox Tewahedo view of their own history would do well to read
this link.
As to the rest of it, the Ethiopian Orthodox will certainly have nothing to do with the Latins in any significant portion, barring the affinity for Catholicism among some people (mostly in Eritrea). The Portuguese helped start that (when using their military in order to help secure the presence of their church in that country in exchange for helping the Ethiopians repel the Islamic horde of Ahmed Gragn), and the Italians did that Church no favors by trying repeatedly to colonize Ethiopia, and thanks be to God they failed and were turned back repeatedly (at Adwa in 1896 and again in 1941 after the Fascist Italians stretched themselves too thin and were chased out by Ethiopian and Allied forces). Nobody will conquer the Ethiopians. The Italians learned it, the Somalis learned it…even the Ethiopians themselves learned it (or at least the ones who had been the Derg learned it). To talk to Tewahedo people about their country’s history, this is entirely a matter of divine providence. To this day, the highland people who first accepted Christianity (Amhara, Tigray, etc.) are still overwhelmingly Christian, and resistant to both Islam and Protestantism, unlike the people further to the south and east.
How anyone could go from that to the RC…it’s like being inspired to join the Communist Party by the break up of the Soviet Union. Doesn’t make a whole lot of sense.
I can’t imagine two more disparate churches, in terms of their history, ethos, phronema…whatever you want to call it. Oh well. Stranger things have happened.
For your edification, a Tewahedo mezmur (popular spiritual song):
“Tewahedo Haymanote” –
Tewahedo, my faith / you are the ancient faith of my mothers and fathers / I will never break my cross necklace / Tewahedo will live forever 
