Bowler perhaps looking hot with bad feeling (6)
I believe the answer is:
hatred
'bad feeling' is the definition.
'hatred' can be an answer for 'feeling' (hatred is a kind of feeling). I'm not certain of the 'bad' bit.
'bowler perhaps looking hot' is the wordplay.
'bowler perhaps' becomes 'hat' (bowler is a type of hat).
'looking hot' becomes 'red' (someone may blush when hot).
'hat'+'red'='HATRED'
'with' is the link.
Can you help me to learn more?
(Other definitions for hatred that I've seen before include "Antipathy" , "'Loathing, enmity (6)'" , "Intense dislike" , "Dearth (anag)" , "Detestation, loathing" .)