Grab the taller broken pillar to the right of the alcove where you got the Headdress and perch on it.

Jump to grab the corner handhold ahead, then the next one above.

Jump to grab the handhold on the left and traverse to the left.

Release to grab the handhold below and traverse to the left around the corner. Jump to grab the small handholds on the wall to the left and climb a bit to the left.

Jump straight up to grab the next small handholds and climb to the left around the corner.

Jump to grab the next small handholds on the left and climb to the left as much as you can.

Now jump to grab the rounded pillar coming from the ceiling.

Jump to grab the small stone handholds on the wall, to the right of the alcove where you got the Treasure. Climb up and jump up to grab the handhold above. Lara will grab onto with one hand, so press the Interact button to help her.

Jump to the left to grab the next handold. Once again, help Lara to grab the handhold with both hands and traverse to the left. Jump up to grab the ledge, yet another time help Lara to grab the ledge with both hands and pull up.