She shows Los Angeles has a rural heart (5)
I believe the answer is:
laura
'she' is the definition.
'los angeles has a rural heart' is the wordplay.
'los angeles' becomes 'la'.
'has' says to put letters next to each other.
'heart' says to take the centre.
The centre of 'rural' is 'ura'.
'la'+'ura'='LAURA'
'shows' is the link.
(Other definitions for laura that I've seen before include "Cells of a group of recluses" , "Girl's name" , "Petrarch loved her" , "girl" , "US First Lady" .)