Foreign Intelligence Service vs international intelligence agency

As nouns, international intelligence agency is a hypernym of Foreign Intelligence Service; that is, international intelligence agency is a word with a broader meaning than Foreign Intelligence Service:

• Foreign Intelligence Service: Russia's intelligence service responsible for foreign operations, intelligence-gathering and analysis, and the exchange of intelligence information; collaborates with other countries to oppose proliferation of weapons of mass destruction, terrorism and organized crime
• international intelligence agency: an intelligence agency outside the United States