USS Einstein wrote:

Well, books are non-canon obviously, but nice mention 
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But either way, the books make it clear that the Andorian Empire is a constitutional monarchy where real power falls to the democratically elected Parliament Andoria, which itself elects the head of government, the Presider.
This is broadly consistent with ENT, wherein the Aenar mention having been in contact with the "Andorian Chancellor."
So the Andorian head of government is canonically called a Chancellor in the 22nd Century, and called a Presider in the novels set in the 24th Century. Either way, though, it's just a fancy term for "prime minister;" the Andorian Empire is a constitutional monarchy.