In Alita Battle Angel (2019), Grewishka wounds Alita, who is about to kill Vector, and says:
Grewishka: I knew you wouldn't wait for your fate to find you, little flea.
Why did Grewiskha mention "fate" here?
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The fate Grewishka is referring to here is Alita's death at his hands. In their first encounter he says, "come here, little flea, so I can pinch your head off." (7:25 in clip)
During their second fight in the underground, Grewishka references Alita having a predetermined path again. Saying, "But I was saved. Remade. By the same hand that shapes your destiny even now." (0:45 in clip) He is referring to Nova, who previously said "rebuild Grewishka... have him bring her to me... dead."
When Grewishka says, "I knew you wouldn't wait for your fate to find you", Alita has come to attack Vector's building. He is basically saying he knew she wouldn't hide from him and wait for him to come after her. She has come to face her "fate" head on. He was wrong about Alita's fate, but correctly assessed her as someone to not shy from a battle.