Quarrelsome European — he should be expelled by Jordan, for example (9)
I believe the answer is:
polemical
'quarrelsome' is the definition.
(deliberately controversial or quarrelsome)
'european he should be expelled by jordan for example' is the wordplay.
'european' becomes 'pole' (someone from Poland).
'should be expelled by' indicates named letters should be taken away.
'jordan for example' becomes 'Michael' (basketball player Michael Jordan).
'michael' with 'he' removed is 'mical'.
'pole'+'mical'='POLEMICAL'
(Other definitions for polemical that I've seen before include "Disputed" , "Involving controversy" , "Engaging in controversial debate" , "provoking argument" .)