District having capital hospital (6)
I believe the answer is:
parish
'district' is the definition.
(parish is a kind of district)
'capital hospital' is the wordplay.
'capital' becomes 'paris' (Paris is an example**).
'hospital' becomes 'h'.
'paris'+'h'='PARISH'
'having' acts as a link.
(Other definitions for parish that I've seen before include "District within county" , "In Louisiana a county" , "administrative district" , "Area within diocese with own church" , "Ecclesiastical area" .)