LadyJaye seems to have a curious aversion to clothing. Like an animal, ironically. She also smells bad like an animal, since you made her smell like a wet dog. Being angry, naked, and smelling bad has probably put her in touch with her instincts to the point that she's thinking very much like a liger, and will probably be able to beat one.
Anyway, I imagine that if she could catch up to it, she'd run it over, wounding or killing it if she went at a high enough speed. There's a good chance the liger would freak out and try to get out of the way, though, which might make it harder. The liger might have a chance if she's going slowly and trying to hit it with something rather than running it over, though.