The Witch of the Woods will lead you back to Tyr’s Temple but before following her, turn to your immediate left to pick up two hacksilver pouches. There’s also a wooden chest covered in brambles so take note of it for now and regroup with the Witch and Atreus.
The Witch will remove the heavy vines covering the “Sky Mover”. Before riding it, look up and you should find another Eye of Odin raven perched on top of the rock. After killing it, destroy the vases and crates nearby then operate the gondola. Continue following her as you head back to the cavern. Sindri won’t be in his shop during this return trip so continue forth without worries.
The Witch will demonstrate how to activate a light bridge, an ability that will be eventually inherited by Atreus. You’ll also notice that all scorn poles along the way will be covered in vines, allowing safe passage without the need to freeze them.
Continue following the witch until you reach the entrance of Tyr’s temple. Go downstairs then turn right. The witch will activate the light crystal. Cross the light bridge then interact with the shaft to reposition the wheel and re-align it. Once secured in the proper position, push the shaft to move the entire bridge. Continue pushing until the bridge locks to position. Backtrack and follow the witch once again as she leads you deeper into the temple.
After using the last light energy to activate the light crystal, the Witch will transfer her bowstring to Atreus’ bow. Follow the witch to the middle of the temple and interact with the pedestal. You’ll receive a Bifrost from her which is necessary to operate the temple’s realm transport sequence. Follow her instructions in operating the bridge. Lock on to Alfheim’s bridge tower then press Circle after receiving Alfheim’s travel rune from the Witch. After the transport sequence, the quest will be complete and you’ll now be able to leave the temple.