Woman not oddly cross after husband's practical joke (4)
I believe the answer is:
hoax
'practical joke' is the definition.
(practical joke can mean a hoax or trick)
'woman not oddly cross after husband's' is the wordplay.
'not oddly' indicates alternate letters (odd letters are removed).
'cross' becomes 'x' (X is cross-shaped).
'after' means one lot of letters go next to another.
'husband' becomes 'h' (abbreviation).
The alternate letters of 'woman' are 'oa'.
'oa'+'x'='oax'
'oax' after 'h' is 'HOAX'.
(Other definitions for hoax that I've seen before include "Kid" , "Imposture" , "Deceptive trick, could be malicious" , "Playful fraud" , "A plan to deceive" .)