Celebrity included in shortage (6)
I believe the answer is:
famine
'shortage' is the definition.
(I know that shortage can be written as famine)
'celebrity included in' is the wordplay.
'celebrity' becomes 'fame' (celebrity can mean the quality of being famous).
'included' is an insertion indicator.
'fame' placed around 'in' is 'FAMINE'.
(Other definitions for famine that I've seen before include "Starvation" , "A great shortage as of food" , "Extreme shortage of food" , "Severe and widespread shortage of food" , "Human tragedy through drought, etc" .)