She's using Shadow though. She wants to enact revenge personally on the gang boss who scarred her. Shadow can single-handedly take on all of the minions of their gang at once, including their specialists who are the same beastman species as Delta (and therefore considered very strong, of course Delta is stronger because she has Possessed blood in her).
That way Yukime can safely get revenge on the boss.
She clearly doesn't care what she has to risk to get her revenge.