The Roman Empire lost a lot of territory to the Arabs in the seventh century, but it didn't collapse. In fact, it made a comeback late in the first millennium AD. The final decline began, arguably, with the Battle of Manzikert in AD 1071.
Manzikert was hard yes, but terminality was caused by the IV Crusade diverting to attack and conquer Constantinople in 1204 (note: i'm Catholic but I still see this as a mistake, up there with the Crimean war)