Wise female thus carried by people on the wagon (6)
I believe the answer is:
athena
'wise female thus carried by people' is the definition.
I can't judge whether this definition defines the answer.
'on the wagon' is the wordplay.
'on' means one lot of letters goes inside another (as in clothing 'on' a person).
'wagon' becomes 'ana' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'the' inserted inside 'ana' is 'ATHENA'.
Can you help me to learn more?
(Other definitions for athena that I've seen before include "Greek goddess of a capital city" , "wise but fierce goddess" , "One-time goddess" , "Greek goddess of wisdom etc." .)