Prepare a letter for a woman (5)
I believe the answer is:
edith
'a woman' is the definition.
(woman's name)
'prepare a letter' is the wordplay.
'prepare' becomes 'edit' (I can't explain this - if you can you should give a lot more credence to this answer).
'a letter' becomes 'h'.
'edit'+'h'='EDITH'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for edith that I've seen before include "and 19 Across: 'Little Sparrow'" , "Evans, Sitwell or Piaf" , "Woman" , "girl" , "Dame ----- Evans (1888-1976), stage and screen actress" .)