First woman to want stateless Olympic category (5)
I believe the answer is:
event
'olympic category' is the definition.
(I've seen this in another clue)
'first woman to want stateless' is the wordplay.
'first' becomes 'a' (first letter of the alphabet).
'woman' becomes 'Eva' (woman's name).
'to want' is a deletion indicator.
'stateless' becomes 'ent' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'eva' with 'a' taken away is 'ev'.
'ev'+'ent'='EVENT'
Can you help me to learn more?
(Other definitions for event that I've seen before include "Planned public or social occasion" , "Thing that happens" , "riding competition" , "Result; incident" , "special occasion" .)