The girl married Noah's son (4)
I believe the answer is:
shem
'noah's son' is the definition.
(I've seen this before)
'the girl married' is the wordplay.
'the girl' becomes 'she' (I've seen this in another clue).
'married' becomes 'm' (abbreviation, e.g. in genealogy).
'she'+'m'='SHEM'
(Other definitions for shem that I've seen before include "One of Noah's sons" , "Eldest of Noah's three sons" , "Biblical character" , "Noah's eldest son" , "Third son of Noah" .)