The first man a woman married (4)
I believe the answer is:
adam
'the first man' is the definition.
(first man in the Bible)
'a woman married' is the wordplay.
'a woman' becomes 'ada' (woman's name).
'married' becomes 'm' (abbreviation, e.g. in genealogy).
'ada'+'m'='ADAM'
(Other definitions for adam that I've seen before include "Biblical progenitor of human race" , "Robert-, eighteenth century Scots architect" , "Biblical first man" , "one might confuse with total stranger" , "Father of man" .)