After pushing the giant rock out of the way, there's a spot on your left where you can start climbing. Once you reach the ledge, go to your right and use the Amulet to repair the Decayed Chest there (Chest #7 and If it ain't broke... trophy should pop).
Go back to where you came on the ledge and you should see the wall glowing white a bit, so start climbing there and go left to clear the gap. Jump up and grab onto the wooden ledge and shimmy/jump over to the left, climbing up and getting thrown into a battle. At first, you will fight two Harpies, then a Delos Warrior will join in. She holds a lightning javelin, which is the source of all her attacks.
Once you take her out and any other remaining ones, then go and smash the wooden structure in the back to knock down a platform. Use it to jump to a ledge with a Green Chest, then climb the wall there until you can use the grapple point to swing over to a wall Kratos will slide down. At the bottom, he'll drop to a zipline that will take him to a wooden platform with a lever.
Pull this lever to make the platform start moving, but you'll be attacked by Harpies while riding it. Just keep grabbing them with R1 to instantly kill them most of the time. Eventually, you'll be attacked by the sea monster again. It'll destroy the platform and as you're falling down, you need to grapple a green point that appears.
You'll land on a piece of the gondola that allows you to climb up, so do that and then jump to the stone to the right. At the top of this, jump to the zipline, where you'll land inside the statue and have to do battle with two Sirens. Kill them, then pull the chain to raise a platform that you can use to get to the upper section.
There's a big gear that you can turn to drop a small block. Push it over to the left side and use it to get to the upper platform. Here, you can grapple something that makes the gears ahead start to move. Jump across the moving gears until you get to some stationary ones. On the right one, you can climb the wall to a platform with a Red Orb Chest.
Drop back down and go across to the corridor, where you'll encounter a lot of bugs. Once they're all dead, go to the end and then left to find another Red Orb Chest. Go the other way and you'll be back outside; there's another Red Orb Chest to the right before going down the zipline.
After going down the zipline, there's a ladder to your immediate left that you can use to go down and find a Red Orb Chest and a Gorgon Eye. Go back up and follow the path to an open area where you have to fight one Delos Warrior, as well as two Centaurs. The Centaurs are easy because if you stay far enough away, they will charge you and with a quick one-button QTE, you do damage without taking any.
Kill them all, then go to the chain and grapple it to yank it down. Jump up to the platform and go underneath to the right to find a Red Orb Chest, then jump on the ledge above to find a Phoenix Feather. Go into the building now and stand on the pressure plate on the left until it's high enough to make it to the hole. Open the Red Orb Chest and then go out the building.
You need to grapple swing your way across, then press the button to smash through the wall at the end. Go forward and the floor will collapse, so grapple the green point and climb, jumping to the next platform. This one will also collapse, so run to the end and climb to the top of the next platform.
Feel free to destroy the eggs, but make sure you open the two Red Orb Chests all the way to the left. Go to the straight path and jump off, grappling the green point and smashing through the wall. Kill the bugs in the way, then keep smacking the sac on the wall until it breaks. Climb up where the sac was and then use the green point to land on a large platform.
