Final answer:
John Wesley was the British military officer who wore a green eye patch and assisted the early Methodist movement. He carried his Bible with his arm laid across it while preaching.
Step-by-step explanation:
The British military officer who wore a green eye patch and assisted the early Methodist movement was John Wesley. He was known for his distinctive appearance, with his eye patch and his arm laid across his Bible while preaching.
John Wesley was not a soldier, so he did not carry a sword or a gun. He wore a green eye patch because he had a condition called pterygium, which caused a growth on his eye. He also used his hand to rest on his Bible as he preached.