The Roosevelt Corollary, encapsulated in option A, can be summarized as follows: America will oversee the collection of any national debt owed by a Latin or South American country to any nation in Europe, and will not allow a European country to gain authority in any of the Americas.
What is the corollary
The Roosevelt Corollary was an extension of the Monroe Doctrine articulated by President Theodore Roosevelt. It aimed to prevent European powers from intervening in Latin America and also asserted the United States' role in the Western Hemisphere.
The Corollary stated that the U.S. would intervene in Latin American countries to oversee the repayment of debts to European nations and prevent European military intervention or colonization in the Americas.