I had never heard of Ereshkigal before a few days ago, but I instantly knew that this was a battle that I had to do. She possessed the Starbrand for a period of time, which is evidently enough to make you Living Tribunal level. He talks a good game, but size is actually a disadvantage here since it will be easy for Ereshkigal to dodge his blows while LT is just one big target for her. Cosmic abilities are all that you really need in order to fight LT and while I respect the Tribunal for actually fighting once in a while, he’s still out of his depth here. Ereshkigal wins.