The big mistake was her trying to boot it up after it got wet. It probably caused a short.
If the touch was off and it's wet let it air dry longer, never did the rice trick, just always let phone sit for a day or two.
If the touch was on then it should be powered off and let air dry as much as possible.
Keep letting it air dry for another day, let it sit in more rice if that does the trick and then try it again, though it's still a possibility a short happened from your daughter pressing the power button.