Celebrated a cold - medical disorder (9)
I believe the answer is:
acclaimed
'celebrated' is the definition.
(thesaurus)
'a cold medical disorder' is the wordplay.
'cold' becomes 'C' (eg on taps).
'disorder' is an anagram indicator (a disordered version of the letters).
'medical' anagrammed gives 'claimed'.
'a'+'c'+'claimed'='ACCLAIMED'
(Other definitions for acclaimed that I've seen before include "Hailed, heralded" , "Strongly praised" , "Highly respected" .)