Extremely censorious about my cakes (6)
I believe the answer is:
scones
'cakes' is the definition.
(type of small cake)
'extremely censorious about my' is the wordplay.
'extremely' says to hollow out the word (remove centre letters) (only the extremes of the word are used).
'about' says the letters should be written backwards.
'my' becomes 'one's' ('one's' is a humorous equivalent to 'my').
'censorious' with its centre taken out is 'cs'.
'cs' in reverse letter order is 'sc'.
'sc'+'ones'='SCONES'
(Other definitions for scones that I've seen before include "Rich biscuit-like pastry, best served with jam and butter" , "Small cakes of flour and fat, usually buttered" , "Small soft cakes of flour, fat and milk - eaten buttered" , "Basic components of cream teas" , "Small plain cakes" .)