When I was in high school my dad brought home a 2 year old Siamese cat that his coworker begged him to adopt. The man said 5 year old son hated the cat and kept trying to drown it in the toilet. That poor cat would only drink from the dripping kitchen faucet and wouldn't go near the bathroom. My mom was a germ-a-phobic and at first it drove her nuts that the cat got in the kitchen sink.
If kitty insisted on running water I'd try to train it to a dripping bathtub spout.