Sick husband, upper-class, chopping in half Jose's pet (3,6)
I believe the answer is:
ill humour
'pet' is the definition.
(pet can mean a tantrum or bad mood)
'sick husband upper-class chopping in half jose's' is the wordplay.
'sick' becomes 'ill' ('ill' can be a synonym of 'sick').
'husband' becomes 'h'.
'upper-class' becomes 'u' ('u' can be similar in meaning to 'upper-class').
'chopping in half' means to take half the letters.
'jose' becomes 'mourinho' (Jose Mourinho).
'mourinho' with half the letters taken is 'mour'.
'ill'+'h'+'u'+'mour'='ILL HUMOUR'
(Other definitions for ill humour that I've seen before include "bad mood" , "bad temper" , "bad feeling" .)