City in Kansas daughter avoided (6)
I believe the answer is:
dodged
'avoided' is the definition.
(dodging is a kind of avoiding)
'city in kansas daughter' is the wordplay.
'city in kansas' becomes 'dodge' (I've seen this before).
'daughter' becomes 'd' (genealogical abbreviation).
'dodge'+'d'='DODGED'
(Other definitions for dodged that I've seen before include "Eluded" , "Quickly avoided" , "Evaded or sidestepped" , "Moved sideways to avoid, say missile" , "Evaded by sidestepping" .)