Ichigo vs Juri Han ! Who would win and why?

I don't see why you think this Juri Han person can beat someone like Ichigo who can fly, move at a supersonic speed and and has a more strength than this Juri Han. It depends on which version of Ichigo you are using but more often than not, Juri Han cannot put down Ichigo even is she uses her eye power if that is what you were counting on. One Getsuga or a fast moving strike with his blade and Juri is done for.