That is a solution. But the german card says something along the lines of 'now you may spend the just thrown dice to deal damage ...'. So it seems you have to throw the dice first and then declare the target.
My current interpretation is that my oppenent does not get any rerolled dice but thats hard to sell to someone who kind of wants that not to happen.
It's a hard ruling, but it does make playing Rin's fury more strategic. You might choose to target your own Phoenixborn or unit so you can avoid possibly losing the dice due to vanish or Golden Veil.