When I worked in HR, employees facing discipline would ask, “What gives you the right to judge me?” We would explain that they gave us the right, when they agreed to work for us!
Revelation 5 explains why Jesus has the right to judge the world. First, (verse 5) because he is the victor in the great war over sin. The winners of war have the right to set post-war terms. Second (verse 9) Jesus can judge the world, because He owns the world; purchased with His blood.
As the victor and the owner, it is Jesus’ right and responsibility to adjudicate all things.