The fight between Brunhild and the God of War Tyr is basically a stalemate. The God of War Tyr was able to make Brunhild detach from her mount which decreased her power quite a bit but the latter was not losing in terms of power. The current Brunhild now only has the power of a demigod while the God of War Tyr has been weakened to have the power of a lesser god when outside of Asgard.
The two initially fought where there were other players but their fight was so devastating that they literally decimate anyone caught in the crossfire. The two beings were made to destroy a vast battlefield as one is a god of war while the other is the leader of the Valkyries. In terms of abilities to fight, the two of them are pretty much equal in that regard as they are not beings that can lose when it comes to any fighting styles.
