Geordie great inspiring British sport (7)
I believe the answer is:
netball
'sport' is the definition.
(netball is a sport)
'geordie great inspiring british' is the wordplay.
'geordie' becomes 'NE' (Geordies are from Tyneside in the North East).
'great' becomes 'tall' (both can mean large).
'inspiring' indicates putting letters inside.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'tall' enclosing 'b' is 'tball'.
'ne'+'tball'='NETBALL'
(Other definitions for netball that I've seen before include "Sport whose players wear bibs" , "Team game for tall Ben" , "After this, you get to serve again" , "activity no longer associated solely with girls" , "Seven-a-side team game -- all bent (anag)" .)