After claiming the Light of Alfheim, you can explore the trench area of the temple by taking the elevator outside the Ringed Temple. Make your way to the sand bowl elevator you used to descend early on and this boss will appear to stop you.
Keep on the defensive and watch his attacks first. Like ordinary dark elves, this boss will rely on blinding projectiles and charging attacks. When charging with his spear, you can wait until the last minute that he attempts to stab the tip before evading. Avoid chasing him since he’ll be able to leave blinding explosives before flying away. You also need to keep Atreus busy, shooting whenever he can. He’ll be able to do considerable damage with his light arrows.
When he’s flying, you have to watch out for either a blockable aerial sweep or an unblockable triple projectile that explodes a few seconds after hitting the ground. If you ever get temporarily blinded, keep ordering Atreus to fire as he will still land his shots accurately. You can use the direction the arrows are flying to predict where the enemy will come from.
As much as possible, try to parry his blockable attacks since it will stun him temporarily, allowing you to land free hits. When his HP is almost depleted, he’ll resort to more unblockable attacks but as long as you avoid his blinding attacks, you should be able to see through his telegraphed moves and react accordingly. Once his HP gauge is depleted, he’ll be vulnerable for a grab and finisher.
After defeating him, loot the Wrath of the Wolf Runic Summon for Atreus. Since this is probably your first runic summon for him, equip it and loot the other items nearby.