The episode's opening sequence -- Jack floating over the waterfall, surrounded by blood with a knife wound in his side -- continues this season's pattern of Samurai Jesus imagery. We saw it in the first episode with Jack's father, hanging crucifixion-style in the flames of Jack's vision, and it continued with the seven assassins -- an extremely significant number in the Bible -- gunning for Jack's head.
Like Christ, the show tempts Jack over and over again: from a burning tree in the forest to ghostly versions of himself that allow voice actor Phil LaMarr to flex some Shakespearean muscle. Samurai Jack's early seasons rarely did this, but its best episodes (like the one where Jack fights "Evil Jack") did.
The introduction feels less Judeo-Christian and more totemic. Wolves in shamanic traditions can symbolize intelligence paired with instinct, an emphasis on family, and the wherewithal and skill to protect that family. Jack's journey in this episode checked all those boxes too. In saving Jack's life, the wolf reminds him of a middle ground between certain death and his messianic calling as a righteous warrior: survive because others depend on his survival.