(Handoff to Foldspace!)
This means the proceedings in the Senate will not be an impeachment trial and therefore can have no real purpose. Indeed, since the matter involved a private citizen, it becomes a Bill of Attainder (passing a law that involves a single private citizen), an unconstitutional act by a legislative body.
Naturally the Senate will proceed anyway, and their lackey media will declare it all legal. Then the matter will have to go to SCOTUS.