> There's no such position or a branch in the EU.

cough vdL cough

She's the head of one of the three branches, she doesn't get to sign a piece of paper and for that to instantly become a law. Neither does her branch as a whole.

At most I would concede that she's way more of a household name than her predecessors, but that doesn't automatically mean she holds more power.

She's basically a civil servant for the Council and Parliament.