How did my rabbit not get electrocuted?
Why did the rabbit leave the cable alone after a while? Perhaps she did receive a tingle.

Teeth have a high resistance. It's unlikely a fatal current could flow through them. A fatal scenario would need the rabbit to be well grounded at a remote body point, and to be contacting the bare live with lips or tongue. Contacting both live and neutral with lips might leave a burn (and be very educational for the rabbit) but be unlikely to kill.