Live without daughter and without difficulty (4)
I believe the answer is:
well
'without difficulty' is the definition.
(well can mean without difficulty or easily)
'live without daughter' is the wordplay.
'live' becomes 'dwell' (synonyms).
'without' indicates named letters should be taken away.
'daughter' becomes 'd' (genealogical abbreviation).
'dwell' with 'd' taken away is 'WELL'.
'and' is the link.
(Other definitions for well that I've seen before include "Healthy - water supply" , "In a good way; spring" , "Facial hair" , "How one might like one's steak?" , "Issue forth" .)