Did Eltariel Kill Talion?

Eltariel fights and defeats the newly fallen Talion, and then leaves Mordor. According to the narration, she returned several times over the years, ending with her witnessing the destruction of Sauron and the escape of Celebrimbor.

How did Talion die?

Talion dies with the rest of the Nazgûl, killed when his fellbeast is struck by debris from the final eruption of Mount Doom following the One Ring's destruction and his spirit is freed.

What happened to Eltariel shadow of war?

Talion's downfall marked the end of Eltarel's duty and the Shadow Wars, and she was promptly tasked by Galadriel to "go West". It is revealed in the Epilogue that Eltariel returned to Mordor many times during the War of the Ring and even witnessed the fall of the Flaming Eye and Celebrimbor's escape.