From the Wikipedia page 
Oyda is one of the woredas in the Southern Nations, Nationalities, and Peoples' Region of Ethiopia. It is named after Oyda people living in this woreda. Part of the Gamo Gofa Zone, Oyda is bordered on the south by Uba Debretsehay, on the west by the Debub Omo Zone, on the north by Geze Gofa, and on the northeast by Demba Gofa. Oyda was part of former Gofa Zuria woreda.