Go forward and then left. Nearby is a Lorestone. Then go under the bridge and towards the next fire gate. Go left and run ahead. The voices will alarm you that the area is dangerous.
Attention! The whole area will soon burn to the ground and you'll have to reach the gate. Try to remember the path - before incinerating the world, try to walk around and learn the environment.
When you're ready, run through the cave upwards and take the footbridge to the other side. After a second you will reach another stone monument. Touch it to burn this location again. Your task is to reach the door, which is more challenging here. Death is just one small mistake away.
Go to the right at once and run along the line of fire. Jump down and run straight ahead. Keep to the right all the time and turn a bit right. Soon, you'll see a bridge in front of you - run towards it. Keep running straight. Senua will open the door and you will be able to continue.