Exaggerration displayed by shy people (4)

I believe the answer is:

hype

I'm a little stuck... Click here to teach me more about this clue!

'exaggerration' is the definition.
I can't judge whether this defines the answer.

'displayed by shy people' is the wordplay.
'displayed by' says the answer is hidden in the clue.
'HYPE' is hidden within 'shy people'.

Can you help me to learn more?

(Other definitions for hype that I've seen before include "Extravagant publicity or promotion" , "Huge publicity" , "Sensational publicity" , "Overdo promotion" , "Ballyhoo" .)

I've seen this clue in the Sydney Morning Herald.

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