The Greek pieces orthos and doxa lie behind orthodoxein, to hold the right opinion, and the adjective orthodoxos.
English borrowed from French or Late Latin. The literal gloss describes the word’s construction, not whether any particular belief is true.
Sources
- Merriam-Webster: orthodox
Word History gives the alternative borrowing routes; Kids Etymology and Word Origin give the components and intervening Greek verb.
- Online Etymology Dictionary: orthography
Also built on Greek *orthos* "correct": orthography ("correct writing")
- Online Etymology Dictionary · orthodox
Meanings of the older forms on the word path.