The Bride didn't defeat Bud
No, he got played by a jealous ass side piece to his brother, used his greed against him, put a bunch of lies on his name.(he was killed by a black mamba, but not the one bill was concerned about) and slowly died a painful death while being taunted by the crazy bytch. But to Budds defense, I think he did the most physical and psychological damage against Bea. A chest full of rock salt at point blank then burying her in a casket had to be the one/two punch of fukked up.