You can climb down from the occupied platform. There's a new branch nearby (#1). You will have to reach it right now. The second jump is by far more challenging than the first one. You must reach a small ledge, located between two small waterfalls. Thankfully, even if you fail to accomplish this action you will be able to repeat it without any repercussions. Step up to the glowing object (#2). Press the Q key. Lara will use grapple. After that, press the E key in order pull the object towards her. I have to warn you. The grapple is a very helpful object. You will be activating it quite frequently, so it would be best to practise using it.
A new cut-scene will appear on your screen shortly. This time you will have to deal with two enemy soldiers (#1). I would recommend that you make a lot of jumps during the fight. Thanks to that, you should be able to dodge most of the bullets. One of the soldiers was carrying a medkit. I would recommend that you collect these items and use them whenever necessary. Bear in mind that Lara will carry only a few medkits! Step up to a huge waterfall. You should be able to notice a small ledge (#2). Use the SPACE key in order to reach it. Start moving towards the left side of the waterfall.
Now you will have to reach a metal pole (#1). You shouldn't have any problems with that. After that, make a second jump. This time you will have to reach a new ledge. Start moving towards the left side of the screen. After that, make a jump to the second ledge. Now you will have to reach an upper platform (#2). In order to do that, you will only have to press the SPACE key. I would recommend that you save your current progress right now.
There's a new rope nearby. You will have to use it (#1) in order to reach a new ledge. Thankfully, you won't have to aim at anything in particular. The new platform is very spacious, so you can't miss it. Start running towards the right corridor. There are some new jumps ahead. You will have to use metal poles (#1) in order to reach the opposite platform. Keep moving forward.
Be careful! You will be encountering enemy soldiers along the way (#1). You must deal with them swiftly, so they won't be able to use their guns. Keep moving forward. You will have to use grapple in just a few seconds. Thankfully, this won't be much of a problem. Just step up to the end of the ledge and press the SPACE key TWICE. Lara will automatically use the grapple. Start swinging (#2). You have to reach the opposite ledge. Keep moving forward. There aren't any new enemy units nearby.
You should be able to reach the main entrance leading to the temple in just a few seconds. A new cut-scene will appear on your screen (#1). It looks like that the mercenaries have arrived. You will have to deal with some of them along the way. Thankfully, that won't be much of a problem. You've probably noticed a yellow sign by the nearby rocks (#2). It means that you can use them in order to get rid of the nearby soldiers. Start shooting at the rocks. Thanks to that, you will have two problems less to worry about. Get down to the lower level (Lara will slide down without any problems).
You will be attacked by new enemy soldiers very soon (#1). It is very important that you keep running all the time. I would also recommend jumping a lot. Don't forget about the medkits. They will come in handy. The second group is nearby (#2). Listen to what the game has to say. One of the soldiers has dropped a gun. You should be able to pick it up. It's a standard machine gun. I would recommend that you use it to take down heavily equipped opponents and/or animals. Be careful, though. The ammo supplies are very limited!
Proceed to the next section of the map. You will find a rope here. Use it. Don't jump to the opposite ledge just yet! You will have to climb up a little (#1). In order to do that, hold the E key and then press the upper movement key. You may start swinging now. Jump over to the new platform. Continue moving forward. There are some enemies nearby. You will have to deal with all of them. I would recommend that you destroy the left statue first (#2). Thanks to that, you should be able to kill most of the mercenaries. Deal with the rest of them now. Don't forget about the possibility of taking medkits and ammunition.
Head on to the stairs leading to the main temple complex (#1). A short cut-scene will appear on your screen shortly. As you've probably suspected, there will be a lot of traps inside. You will have to pass through all of them safely. Enter the temple. You might want to consider pushing a small rock in order to observe how the first trap works. Use the grapple. Thanks to that, you will safely pass to the other side (#2). You may proceed to the next section. Don't forget to save your progress. Thankfully, there are additional checkpoints along the way.