The One, Holy, Catholic (Gr.: katholiki, from "kata-holos", "according to the whole") and Apostolic Church of Christ has referred to itself as both "catholic" and "orthodox" since ancient times.
Both the Roman Church and what we call the "Eastern Orthodox" Church claim to be the One, Holy, Catholic and Apostolic Church of Christ. Both also claim to be both "catholic" and "orthodox". However, over time, the Roman Church came to be known in the West as the "Catholic Church", and the Eastern Churches as "the Orthodox Church". Ecclesiologically speaking, both these labels are misleading, but I suppose we're stuck with them in the so-called diaspora.
The Church of Christ is both orthodox (right-teaching, right-believing, right-worshipping, right-glorifying) and catholic (whole, entire, lacking in nothing, universal).