Infuriate First Daughter ousted by independent young woman (6)
I believe the answer is:
maiden
'young woman' is the definition.
(I know that maiden is a type of young woman)
I don't understand how the rest of the clue works.
(Other definitions for maiden that I've seen before include "I named (anag) - young woman" , "Girl; kind of over" , "Six dot balls" , "Ship's first trip" , "Over in cricket in which no runs are scored" .)