Political ideology of Liberal English paper is muted at first (7)
I believe the answer is:
leftism
'political ideology' is the definition.
(leftwing politics)
'liberal english paper is muted at first' is the wordplay.
'liberal' becomes 'l' (abbreviation).
'english' becomes 'E' (abbreviation).
'paper' becomes 'FT' (newspaper the FT, Financial Times).
'at first' says to take the initial letters.
The first letter of 'muted' is 'm'.
'l'+'e'+'ft'+'is'+'m'='LEFTISM'
'of' acts as a link.
(Other definitions for leftism that I've seen before include "Possible promotion of Marx" , "radical politics" , "Socialist or communist stance" .)