Everyone embraces first female to get academic qualification (1,5)
I believe the answer is:
a level
'academic qualification' is the definition.
(A-level is a type of academic qualification)
'everyone embraces first female' is the wordplay.
'everyone' becomes 'all' (all people).
'embraces' is an insertion indicator.
'first female' becomes 'eve' (Adam and Eve).
'all' enclosing 'eve' is 'A-LEVEL'.
'to get' is the link.
(Other definitions for a level that I've seen before include "British education standard" , "School qualification" , "Higher GCE exam" , "British schools' examination" , "Final exam for students at secondary school" .)