At the beginning, go forward and grab the Red Orb Chest, then get the Soul of Hades upgrade on your left. The Plume of Hades (Square, Square, Triangle) is definitely powerful enough to take out the subsequently spawning enemies, provided you get enough room to continually use it.
Once they're all dead, go through the opened door and you'll see a large statue in this room. However, one of the inanimate statues will come to life, revealed the Fire Talos enemy. At first you only fight one, but another one will come to life and it'll be a 2-on-1. They're very slow and only really have one move in the beginning, which is to pound the ground and make a fire geyser come out of the ground where Kratos is standing.
They usually do three of them at a time, but sometimes only do two. At some point, they will ignite themselves on fire, making it so Kratos can really do any damage. They can launch themselves in the air, similar to Harpies complete with the circle designating where they land, and try to smash Kratos from above. Once you damage them to where a red halo appears, grapple them to start a three-button QTE that will destroy them.
With them both reduced to rubble, grab the statue and drag it to where the ladder is located. Climb the ladder to the second floor and go left, jumping to the next platform to find a Red Orb Chest. Go back and to the right of the ladder, pulling the lever in the room, lowering the floor.
Go through the hallway until you come to a room with a spiked floor and some chandeliers. Jump on the first one and grapple the snake heads to turn everything to stone like before, then hurry on the path that is now revealed, jumping onto the chandelier at the end.
Do the same thing as before, grappling the snake heads and walk on the path that is revealed. At the end, grapple to the green point, then hit the button that shows up to break through the wall. When you land, go backwards to get a Gorgon Eye, Phoenix Feather, and two Red Orb Chests.
In the next room, go into the mist and then hurry to the right gate, as the floor will crumble beneath you. Note that some enemies will spawn, but be careful not to fall in the chasm below. Go through the gate when it is open, and wait before going in the next mist. Go to the end of the path and open the Red Orb Chest.
Go back to the mist and walk in it, then jump your way past the broken floor until you can get through the gate at the end. Once you're through it, open the door and go into the big room, where you'll have to fight two enemies. They can summon phantoms of themselves, but you should try and concentrate on the real enemies.
They can also burrow underground, transforming into blades that can hurt you bad if you get caught. When they do burrow, grapple them to bring them above ground again. Once they're dead, stand in the button and two gates will open, although the one on the left will close after stepping off the button. Go through the right doorway that opened and pull the lever to make some mist appear in the room before.
Go back and step in the mist, then go back to the room with the lever and break the door there to reveal a Red Orb Chest and a Gorgon Eye. Back in the previous room, step in the mist again and grapple the pillar on the left side to make a platform appear. You can grapple the green point from this platform, where you can climb and jump onto the chandelier.
On the chandelier, grapple the statues to make the chandelier swing, then jump onto the hourglass. Jump to the ledge behind it and grab Aletheia's Charm on the ground. There's a Red Orb Chest on the right side, so grab it and then pull the lever on the left side to open the door next to you. Go through it to end up back in the room with the statue.
Drop down and kill the enemies that spawn, then climb up again and step in the mist. Drop down and drag the statue onto the wooden plank that fell, then step in the mist and break the door on the pathway on the right side up here. Push the statue through the door and into the room with the hourglass.
Push the statue off the ledge straight ahead and onto the ground below. Use the statue to hold the button down from earlier, allowing you to grab two Red Orb Chests and a Phoenix Feather from the gate on the left. Go back to the statue and push it into the notch straight ahead the switch, then step into the mist and jump onto the chandelier from the pushable statue, grappling the two big statues and hitting the hourglass. You'll automatically descend into The Oracle's Chamber.
