Crossword Genius

Kingdom’s chief in capital without empress primarily (8)

Ross

I believe the answer is:

monarchy

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'kingdom's' is the definition.
(I've seen this before)

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for monarchy that I've seen before include "realm" , "sort of government" , "Kingship system" , "Rule by a sovereign" , "Kingdom - kingship" .)

I've seen this clue in The Hindu.
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