Answer:
Correct answer is C) unlike the Roman Catholic Church, the Eastern Roman Empire was based in Constantinople.
Step-by-step explanation:
Option A is not correct as Church has done it multiple times. Just take for example the Crusades.
Option B is not correct as Roman Empire was ruled by the Emperor, not by the Pope.
Option C is correct. Center of the Church was in the city of Rome, while center of Eastern (Byzantine) Empire was in Constantinople.
Option D is not correct as both of them had their influence in Europe. Byzantines had influence in Eastern and Catholic Church in Western Europe.