Not cold water specifically--just water. The waterproofing on the electronics is uneven (especially on earlier models). It has a "car wash mode" (lol) that is supposed to lock all that down, but some Teslas have been bricked by just driving in the rain. Also, the water seems to rust the stainless steel body. As I've said before, it seems like it was engineered for California weather and they never considered that people might drive it in other climates.