Large edible mushroom with a white scaly cap (7)

I believe the answer is:

parasol

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'large edible mushroom' is the definition.
'parasol' can be an answer for 'mushroom' (parasol mushroom is a kind of mushroom). I'm unsure of the 'large edible' bit.

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for parasol that I've seen before include "Protection from sun" , "for protection from the elements" , ""Sunbrella"" , "Desert Shield?" , "Protection from light" .)

I've seen this clue in The Times.

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