As long as you are sure that the distilled water is not polluted, it should be no more harmful than any other water. As long as you are eating healthily enough to ensure proper mineral intake, the minerals that you otherwise might get from water would be insignificant. As long as the water has not accumulated dust and Legionella bacteria through being improperly stored, there should be no special microbial hazard.
As I see it, that is about that!
Stay well! Drink while you are thirsty, and then stop.
Cheers,
Jon