Resent sexism in design houses (4)
I believe the answer is:
mind
'resent' is the definition.
(thesaurus)
'sexism in design houses' is the wordplay.
'houses' indicates a hidden word (part of the clue houses the answer).
'MIND' can be found hidden inside 'sexism in design'.
(Other definitions for mind that I've seen before include "'Out of sight, out of ....'" , "Object to; take care of" , "Take care of; intellect" , "Inclination" , "Intelligence" .)