She won the third tournament, at least is what i can find from research.
And she, before dimensions, defeated Genra alone in DOA 3, in dimensions she is helped by Ryu Hayabusa and Hayate.(can someone confirm me which one is the actual canon please?)
She is also now the master of the hajinmon sect of her village.
And if we add Ninja Gaiden feats (and considering that Ninja gaiden/black/Sigma and Ninja Gaiden 2/Sigma 2 happen before the very first Dead or Alive game, and NG3RE, that is either between doa 4 and 5 or shortly after DOA). She, before the first 4 tournaments also has the feat of killing a greater fiend (that got resurrected later, but those are fiends for you).
So, she is pretty strong actually, and if you think that Kasumi is probably a better fighter/ninja (not much i would say), things get crazy.