MP's car I impolitely pranged (8)

I think it could be either:

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8,6

military

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'mp's' is the definition.
Although both the answer and definition are singular nouns, I cannot see how one could define the other.

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

Can you help me to learn more?

(Other definitions for military that I've seen before include "Of soldiers and warfare" , "Relating to soldiers or war" , "Relating to the army" , "Related to soldiering" , "soldierly" .)

I've seen this clue in The Guardian.

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