Get encouragement in fight to show discrimination over family (5,5)

'get encouragement in fight to' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'discrimination over family' is the wordplay.
'discrimination' becomes 'taste' (taste is a kind of discrimination).
'over' is a charade indicator (letters next to each other) (in a down clue, some letters go over others).
'family' becomes 'blood' (blood can mean one's family).
'taste'+'blood'='TASTE BLOOD'

'show' is the link.

Can you help me to learn more?