Republican fellow in vote shows consideration (10)
I believe the answer is:
reflection
'consideration' is the definition.
(both can mean thinking about something)
'republican fellow in vote' is the wordplay.
'republican' becomes 'r' (abbreviation).
'fellow' becomes 'F' (abbreviation - of a society etc.).
'in' indicates putting letters inside.
'vote' becomes 'election' (election is a kind of vote).
'f' inserted within 'election' is 'eflection'.
'r'+'eflection'='REFLECTION'
'shows' acts as a link.
(Other definitions for reflection that I've seen before include "mental study's required" , "Mirror image" , "serious thought?" , "Effect of not absorbing light" .)