Astute Kate maybe seen with daughter (6)
I believe the answer is:
shrewd
'astute' is the definition.
(I know that astute can be written as shrewd)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for shrewd that I've seen before include "Having good judgment" , "'Astute, savvy (6)'" , "keen" , "Wily" , "Sharp-witted" .)