Significant if Little Women rejected a number of scores (6)
I believe the answer is:
eighty
'number of scores' is the definition.
(a score is twenty)
I can't explain the remainder of the clue.
(Other definitions for eighty that I've seen before include "Around the World in - Days (Verne)" , "Fourscore" , "Northern county (abbr.)" , "Number" , "4 score" .)