Timur, Who?

Tughlugh Timur has left a massive Legacy across the world. He unified a region not unified since the Seljuk era. He slowed down the Ottoman rise, and greatly weakened the Mamluks. There were pivotal moments however, in his rise to power. One such, is at Balkh in Afghanistan in 1370, a siege against Amir Husayn he won. This was pivotal to him capturing the warring Iranian states. However, what if at this siege, Timur was stopped early in his conquests?

Point of Divergence
Amir Husayn continues to hold on at Balkh, for three months. Losing patience, he is assassinated by his soldiers who return home. This causes enormous ramifications.