Pearson's unusual character (7)
I believe the answer is:
persona
'character' is the definition.
('persona' can be a synonym of 'character')
'pearson's unusual' is the wordplay.
'unusual' indicates anagramming the letters.
'pearson' is an anagram of 'PERSONA'.
(Other definitions for persona that I've seen before include "No pears (anag.)" , "Public image" , "character on the stage?" , "One who is diplomatically acceptable" , "Assumed identity" .)