No Chosen One

Anakin Skywalker is not the chosen one. He is not the child born of midicloriens! He is just a very powerful force user. And when we first see him, he is 13 years old and Obi-Wan's Padawan. So it is Anakin that says the line: "I have a bad feeling about this..." at the start of Episod 1.

Consequent Changes

Not much realy happens because of this change. As it hardly came up in the prequels we have today. It was a point of conflict in the first episod but after that, it's only mentioned once or twice.