Woman into bed with Democrat (4)
I believe the answer is:
lady
'woman' is the definition.
(lady is a kind of woman)
'bed with democrat' is the wordplay.
'bed' becomes 'lay' (I've seen this before).
'with' indicates putting letters inside.
'democrat' becomes 'd'.
'lay' placed around 'd' is 'LADY'.
'into' is the link.
(Other definitions for lady that I've seen before include "Wife of gentleman" , "Woman, of refinement perhaps" , "Gentlewoman" , "Title for a knight's wife" , "Female title" .)