Study of food produces wind - or not - my problem (10)
I believe the answer is:
gastronomy
'study of food' is the definition.
'gastronomy' can be an answer for 'food' (gastronomy is a kind of food). I'm not sure about the 'study of' bit.
'wind or not my problem' is the wordplay.
'wind' becomes 'gas' (synonyms).
'problem' is an anagram indicator.
'or'+'not'+'my'='ornotmy'
'ornotmy' with letters rearranged gives 'tronomy'.
'gas'+'tronomy'='GASTRONOMY'
'produces' is the link.
Can you help me to learn more?
(Other definitions for gastronomy that I've seen before include "Art of good eating" , "Practice of preparing and eating good food" , "Art of eating well" , "Art of good-eating" , "science of food" .)