Introductory parts aired in a haste, taking wrong order (7)

I believe the answer is:

exordia

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'introductory parts' is the definition.
(I've seen this before)

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

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(Other definitions for exordia that I've seen before include "Introductions" , "introductory material" , "Starts to lecture" , "Parts of speech" , "introductory sections" .)

I've seen this clue in The Hindu.

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