Resolved questions
How do you say "Foreign Intelligence" in Japanese?

諜報外交 is a title of a book. This is a word that the author created.
If you want to say the action to gather information in Japanese, it may be 対外諜報(活動).
We don't have a specific agency to do this. Several departments of the government (such as 防衛省情報本部、外務省国際情報統括官組織、法務省公安調査庁 etc.) are gathering information, but it is far from enough.