Dodge first woman to have a key (5)
I believe the answer is:
evade
'dodge' is the definition.
(synonyms)
'woman to have a key' is the wordplay.
'woman' becomes 'Eve' (Eve is an example).
'to have' indicates putting letters inside.
'key' becomes 'd' (musical key).
'a'+'d'='ad'
'eve' placed around 'ad' is 'EVADE'.
'first' acts as a link.
(Other definitions for evade that I've seen before include "Dodge by cleverness or trickery" , "Shirk" , "skirt" , "Avoid, get out of" , "Escape paying (tax)" .)