A woman, who is nasty, overbearing, mean, pompous, arrogant, a selfish busybody, aggressive, disagreeable, or any combination of these. A battleaxe is usually an older woman, and often somewhat unattractive.
uh, as the title says, it's An axe woman who is strong. and fans and axes are cool. An axe is a formidable woman – aggressive, domineering and forceful.