Woman’s pursuing scoundrel? You bet! (6)

I believe the answer is:
rather
'you bet' is the definition.
Both the answer and definition are adverbs. Maybe there's an association between them I don't understand?
'woman's pursuing scoundrel?' is the wordplay.
'woman' becomes 'her' (her refers to a woman).
'pursuing' says to put letters next to each other.
'scoundrel?' becomes 'rat' (rat can mean a nasty person).
'her' after 'rat' is 'RATHER'.
Can you help me to learn more?
(Other definitions for rather that I've seen before include "To a limited degree" , "with more justification" , "Most certainly" , "Infinite time" , "More precisely; instead of" .)
