A person who adheres to or supports Bourbonism, the political ideology of the Bourbon dynasty.
From 'Bourbonism' plus the agent suffix '-ist' meaning 'one who practices or believes.' This suffix creates nouns for adherents of ideologies.
Every ideology gets a name for its followers—we have Marxists, feminists, royalists—so Bourbonists were the political supporters who believed in restoring or maintaining Bourbon power after the French Revolution!
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