Here are the answers to your questions:
Question 1: In what year was the "Monroe Doctrine" issued?
Answer: A 18131813 (The Monroe Doctrine was issued in 1823.)
Question 2: The Monroe Doctrine could have been considered a huge gamble for the U.S. because they would have likely been unable to prevent which of these?
Answer: D Europe's invasion of Latin America (The Monroe Doctrine aimed to prevent European colonization and intervention in the Americas, but the U.S. had limited military power to enforce it.)
Question 3: The Monroe Doctrine temporarily improved the U.S.'s relationship with
Answer: D Great Britain (Initially, the U.S. and Great Britain found common ground in their opposition to further European colonization in the Americas.)