Red blubber that woman slices (6)
I believe the answer is:
cherry
'red' is the definition.
(shade of red)
'blubber that woman slices' is the wordplay.
'blubber' becomes 'cry' (to blubber is to cry uncontrollably).
'that woman' becomes 'her' (her refers to a woman).
'slices' indicates putting letters inside (inserted letters slice their way in).
'cry' going around 'her' is 'CHERRY'.
(Other definitions for cherry that I've seen before include "Small succulent red stone-fruit" , "The colour of a red fruit" , "Tree; red fruit" , "one likely to be picked?" , "Deep red like small round fruit" .)