Alpha female's articulate and prosperous (8)
I believe the answer is:
affluent
'prosperous' is the definition.
(thesaurus)
'alpha female's articulate' is the wordplay.
'alpha' becomes 'a' (phonetic alphabet: alpha, bravo, charlie etc.).
'female' becomes 'f' (abbreviation).
'articulate' becomes 'fluent' ('fluent' can be similar in meaning to 'articulate'**).
'a'+'f'+'fluent'='AFFLUENT'
'and' acts as a link.
(Other definitions for affluent that I've seen before include "Well off, having plenty of money" , "Well-heeled" , "Well-to-do, got lots of money" , "Wealthy - abundant" , "Loaded" .)