Bug PA with no starter (5)

I believe the answer is:

annoy

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'bug pa' is the definition.
'annoy' can be an answer for 'bug' (thesaurus). I am not certain of the 'pa' bit.

'with no starter' is the wordplay.
'with' is an insertion indicator.
'starter' becomes 'any' (I can't explain this - if you can you should give a lot more credence to this answer).
'no' placed inside 'any' is 'ANNOY'.

Can you help me to learn more?

(Other definitions for annoy that I've seen before include "Irritate, nettle" , "Irk" , "get angry" , "Irritate - pester" , "Irritate, needle" .)

I've seen this clue in The Telegraph.

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