You might peck at this omelet, it's nutty (9)
I believe the answer is:
mistletoe
'you might peck at this' is the definition.
The definition suggests a singular noun which matches the answer.
'omelet it's nutty' is the wordplay.
'nutty' indicates anagramming the letters.
'omelet'+'its'='omeletits'
'omeletits' anagrammed gives 'MISTLETOE'.
Can you help me to learn more?
(Other definitions for mistletoe that I've seen before include "Evergreen plant" , "tempting a smack?" , "Tree parasite" , "Christmas berry" , "Plant with white berries, facilitates kissing" .)