Horribly noisy gym showing antipathy to women (8)
I believe the answer is:
misogyny
'antipathy to women' is the definition.
(misogyny is hatred of women)
'horribly noisy gym' is the wordplay.
'horribly' indicates anagramming the letters (a horribly wrong version of the letters).
'noisy'+'gym'='noisygym'
'noisygym' is an anagram of 'MISOGYNY'.
'showing' is the link.
(Other definitions for misogyny that I've seen before include "Hatred of the fairer sex" , "Hatred of women" .)