This is way late of an explanation for you but mainly for other readers. The hint is that if she killed a mouse she would be turned into a mouse so if she was swinging at her and the cat jumped in the way the cat would get hit. Hitting the cat killed it effectively turning her into the cat. As for the memory part that is probably from hitting her head after falling. She is next to a pond with a lot of rocks.
Edit: Or it could be from the fact she was no longer close to death that she lost the memories of the shinigami as many of the stories go.
last edited at Nov 25, 2013 1:39PM