Host's place, after dealing with criticism (12)
I believe the answer is:
remonstrance
'criticism' is the definition.
'host's place after dealing with' is the wordplay.
'host's place' becomes 'monstrance' (receptacle for the Eucharistic host).
'after' is a charade indicator (letters next to each other).
'dealing with' becomes 're' (regarding).
'monstrance' put after 're' is 'REMONSTRANCE'.
(Other definitions for remonstrance that I've seen before include "Strong protest" , "petition" , "complaint" .)