Rather small-minded about the centre of Perth (6)
I believe the answer is:
pretty
'rather' is the definition.
(synonyms)
'small-minded about the centre of perth' is the wordplay.
'small-minded' becomes 'petty' (synonyms).
'about' is an insertion indicator.
'the centre of' means to look at the middle letters.
The centre of 'perth' is 'r'.
'petty' enclosing 'r' is 'PRETTY'.
(Other definitions for pretty that I've seen before include "Film with Julia Roberts (belle)" , "Fairly; appealing" , "sweet" , "chocolate-box" , "Delicately attractive" .)