Crossword Genius

Poisonous fungus given by obnoxious person finally kills agent (9)

Ross

I believe the answer is:

toadstool

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

'poisonous fungus' is the definition.
(I've seen this before)

'obnoxious person finally kills agent' is the wordplay.
I cannot quite understand how this works, but
'person' could be 'tool' (tool is a kind of person) and 'tool' is located in the answer.
The remaining letters 'toads' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'given by' acts as a link.

Can you help me to learn more?

(Other definitions for toadstool that I've seen before include "what's poisonous maybe" , "Poisonous fungus" , "Umbrella-shaped fungus" , "Umbrella-shaped cap on a stalk" , "Support for little people" .)

I've seen this clue in The Hindu.
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