Disgust shown by Republican facing dismissal after losing vote (9)
I believe the answer is:
repulsion
'disgust' is the definition.
(repulsion is a kind of disgust)
'republican facing dismissal after losing vote' is the wordplay.
'republican facing' becomes 'r' (I can't justify this - if you can you should believe this answer much more).
'dismissal' becomes 'expulsion' (I've seen this in another clue).
'after losing' suggests deleting specific letters.
'vote' becomes 'x' (how votes are marked).
'expulsion' with 'x' removed is 'epulsion'.
'r'+'epulsion'='REPULSION'
'shown by' acts as a link.
Can you help me to learn more?
(Another definition for repulsion that I've seen is " Feeling of intense distaste or disgust".)