Amita wants you to pilfer anything that looks particularly valuable, but her exact words regarding the temple itself are, “I want you to crush it into dust.” Tough to misinterpret that mission objective, isn’t it?
Make your way to the water and either swim or catch a ride on the Golden Path boat to the temple island. If you swim, stay underwater as much as you can to avoid giving the patrol boats and soldiers on duty target practice.
Climb ashore anywhere you like. The temple as a whole is lightly guarded (until they see you and call in reinforcements, at least), and stealth isn’t necessary here.
Your objective is to access the vault below the temple. You should find an open stairway leading down at the base of the tower. If it’s boarded up, seek out the well to the east of the tower and take a plunge.
In the well, you’ll find an underwater tunnel that forks (stick to the left) and lets you out in a basement-like area filled with stone walkways, water lilies, and a couple soldiers. The stairway will bring you to the same place. However you arrive here, the bad guys won’t know what hit ‘em.
Take the metal ramp up, turn right at the T, and follow the winding path. When it branches again, take the left fork to a small wooden bridge and an ammo crate, then return and follow the right fork to an iron gate. Use the lever in the wall to open the gate and let your Golden Path comrades in from the boat garage.
Now that you’ve satisfied the “access the vault” portion of your mission, you can switch to the “crush it to dust” part. Grab the satchel charges as instructed (you may have to use a C4 to coax the game into letting you pick them up) and run out the parking area to the stairs and up to the temple grounds.
More soldiers will have arrived, but they’re pushovers at this point. Get them out of the way or run right past them and slap the first explosive onto the glowing yellow spot on the temple wall.
Next, go up two flights of stairs to the third floor, then skirt around the roof to the grenade launcher. Take the ladder beside the launcher to the fourth floor. Follow the roof around to the north to plant the second charge.
Charges set, ride the zipline over your shoulder down to the boat and jump into the gun turret. The Royal Guard is coming by land, sea, and air to send you to the bottom. As you fend them off, be sure to watch for the temple coming down.