Most of us know that, traditionally, wedding bands are worn on the right hand, not only in the Orthodox church, but the Catholic and European protestant churches as well. (Though, wearing the ring on the left hand has become the Orthodox custom in many countries in the west and middle east). From what I could research the wearing of wedding bands on the left hand is a recent Anglican innovation. The revision of the Book of Common prayer in the Anglican church in the mid-16th century had the wedding band on a woman moved to her left hand because the right hand was considered the hand of power, authority and independence while the left was the hand of subjection and dependence and a more fitting place for the wife to wear her symbol of subjugation to her husband. It was also moved there, as another religious move to disassociate the church from the Catholics. From the Anglicans, then, came this modern innovation and since the Episcopal church and its many Ã¢â‚¬Å“breakoffsÃ¢â‚¬Â such as the Congregationalists, Presbyterians, Baptists, Methodists, etc. came to dominate the American religious scene, this tradition became the norm in the United States.
By the way, until the past few decades, most North American protestant men never wore a wedding ring. Only their wives did, and on the left hand. My Dad is now 80 and he and his friends, all Anglicans, never had a wedding band.