Public image or facade (7)
I believe the answer is:
persona
I believe this clue is a double definition.
'public image' is the first definition.
(I've seen this before)
'facade' is the second definition.
(thesaurus)
'or' acts as a link.
(Other definitions for persona that I've seen before include "character on the stage?" , "One's outward character" , "One who is diplomatically acceptable" , "No pears (anag.)" , "External aspect of character" .)