To perform this, get a statue and throw it to the corner. Get on the top of the pillar using a backflip and leaf and walk off the edge of the pillar slowly so that you grab the edge instead of jumping off. Now tap Left and Link should go through the wall. Now Climb up and adjust your angle to jump out of bounds, then use the Leaf to fly to the hallway with the door leading to the rest of the dungeon.
From the entrance go right, onto the ledge. Hop onto the pillar near the hut where you place the statue, then Deku Leaf over on top of the hut. Climb to the peak of it, and wait until the water is about to rise. Facing the entrance with water pouring out of it, backflip and pull out the Deku Leaf immediately. Glide over through the waterfall, and release the Deku Leaf when you're up against the front of the entrance when the water is raised. If done right, you'll be sucked inside.
Using a slow superswim, it is possible to simply climb the ledge behind the waterfall, skipping the beginning of the temple. This is most useful in a TAS.
After placing statues on the right and middle switches, roll over the left switch, and you will land of the rising platform as the cutscene begins.
Place the Goddess Statue under the rainbow floor, and get on it. Call the statue to make it follow you, and go right over it. It is possible to pick up the statue through the floor by pressing A while standing up after crawling.
It is possible to clip OoB by using a statue and a frame perfect roll clip. Once OoB, you can leaf to the loading zone leading to the miniboss fight.
Grapple to the post on the ceiling and position yourself with the left side of the door to the far left. Swing, and release mid swing, using the deku leaf to reach the top of the door. From there (and from any other Tower of the Gods door frame), it is possible to clip through and access the loading zone.
To perform the clip, position Link atop the door, to the far right side. Face the wall diagonally to the left, then backwalk off the door. To keep from aligning perpendicular to the wall L target from first person view. Keeping L held down the entire time, climb back up then repeat about 2 times. When you climb up and get pushed into the wall it worked. Careful as you are not far from being ejected back in bounds. The better the initial positioning, the fewer iterations needed, almost all the time 3 will do it.
Note: Obtaining the bow early doesn't save time when the Tower of the Gods has to be beaten because the platform cycle doesn't line up properly.
After you picked up the second statue on the first floor, you are supposed to use the Command Melody to jump him over a bridge you get from standing on a switch. Instead of doing this, you can walk with the statue to the ledge on the same side as the switch. Walk up to the pillar which stops you from continue. Walk slowly until Link's body is almost halfway over the void, then pause, let go of the control stick, and unpause. Now go into first person mode and turn right until the B button GUI is lined up with the black texture as seen in the video below. Then perform a sidehop to the left.
Simply glide to the rising platform and jump to the small key chest. To get back to the door quicker, jump into the abyss and you will death warp back to the door.
It is very easy to skip using the scales to get to the door with the lock on it. Simply Item Slide across the room and hold forward when slashing with B to jump and grab the ledge on the other side.
Alternatively, place one statue on either of the scales. Jump off the ledge by the opposite scale and glide to the scale's far edge with the deku leaf. Fall, roll, and grab the ledge of the platform. It is also possible to get to the ledge using only leaf pumping, but it is more difficult.
Put two statues on one of the two scales. On the opposite scale, while holding the goddess statue, sidehop back and forth until the scale reachs the appropriate level, then proceed to the next room.
You can simply item slide through the lasers to call the statue. To escape without playing the Command Melody, make sure to have a first person item in Link's hand, take damage from the lasers and use Link's invincibility to item slide through.
Get on the block in the middle of the room and glide to the golden ledge on the left side of the lasers. From here, glide and grab the ledge of the statue. "Call" the goddess statue, then immediately glide back over the lasers.
Using an Item Slide, you can simply bypass lasers if you have enough speed as lasers are actors.