Spouse left bather embarrassed (6,4)
I believe the answer is:
better half
'spouse' is the definition.
(I've seen this in another clue)
'left bather embarrassed' is the wordplay.
'embarrassed' is an anagram indicator (embarrass could historically mean to complicate).
'left'+'bather'='leftbather'
'leftbather' anagrammed gives 'BETTER HALF'.
(Other definitions for better half that I've seen before include "Wife (colloq.)" , "Spouse (informal)" , "Husband" , "One's spouse" , "partner" .)