Rogue has shown an ability to defeat telekenitics which places her at Invisible Women power levels.
I think she wins here.
Rogue would steal his power. She doesn't have to be the to touch first. Any touch works. By getting his memeories she would see what all the statues of the world stand for.
Rogue wins. Grey has to touch her with the palm of his hand...she just has to touch him, period.