Has rouge the bat ever made shadow the hedgehog blush

Not that I've seen, Shadow usually keeps more to himself, often blanking the world out in the process. So, I'd think not. Maybe off the scenes, yes, but not on film.
Besides, Rouge usually flirts with Knuckles, Sonic, and Tails, to make THEM blush. Ecspiecally Knuckles.
Don't forget that she kissed Tails in Sonic X.