Paul — I want one of those “12-volt Car Kettles.”
Don't drink & drive -- You'll spill your tea! The 12V car kettles I've seen draw about 20A, and therefore take quite a while to boil even a small amount of water. I tried one once, and was sitting there for what seemed like ages -- With the engine running for fear of being left with a dead battery.
Re the 20VA isolation transformer, the wiring rules in Britain state that the only socket (receptacle) allowed in a bathroom is a shaver outlet fed through such a transformer. Shaver outlets have the transformer fitted right on the plate and are fitted into a depper-than-normal box.