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Rukia's mod soul Chappy jumps into the Narutoverse. She's in the Hidden Leaf Village and sees Sasuke and Sakura walking by. Chappy pounces on Sasuke and harasses him. Sakura gets pissed and chases after her. Now Chappy and Sakura are in the Bleachverse. Chappy dashes past Rukia. Sakura mistakes Rukia for the one who harassed Sasuke and challenges her to a fight. Rukia has no idea what's going on but she accepts.

Who will win?

I'm gonna assume the basis for this is that reiatsu is equivalent to chakra, which is why Sakura can even see Rukia in shinigami form.

That being said, Rukia stomps.

Brute Strength - Sakura
Speed - Rukia
Techniques - Rukia

Rukia wins.

Rukia hands down.