The Owa Daim shrine contains the Stasis Trial, where you get a new rune for your Sheikah Slate.
Reach the Shrine
The Owa Daim shrine is in the southern part of the Great Plateau area. Go to the forest south of the Temple of Time, where you can find the old man's cottage. (In Master Mode, there is a Lynel there, so you might want to warp to the Shrine of Resurrection and go to the southern shrine from there.)
Get an Item from the Old Man
If you read the diary in the old man's cottage, you get a clue for obtaining the Warm Doublet from the old man. You need to cook Spicy Meat and Seafood Fry. First, take the spicy peppers from the table next to the diary. Then you will need to hunt for some meat and some fish. To get meat, you can kill foxes, boars, or other medium-sized animals. You might be able to find these in the forest west of the Oman Au Shrine that you visited first. To get fish, look for water. You can shoot fish with arrows to catch them easily.
Then find a cook pot, and go into your inventory and hold a spicy pepper, a fish, and raw meat. Go to the cook pot and press A to cook the Spicy Meat and Seafood Fry.
Then go back to the old man's cottage in the evening and wait for him to sit by the cook fire. Talk to him until you have the option to say "I cooked something." Then you will give him the spicy meat and seafood fry, and he will give you the Warm Doublet. It will be helpful later.
Continue to the Owa Daim Shrine
During the day, the old man will be chopping a tree in the southern forest. Near that, there is a gap that is too far to jump over, but you can chop down a tree nearby to create a bridge. Then kill the Bokoblins on the other side, and keep going west until you find some cracked rocks. Blow them up with a bomb, then open the chest inside to get five fire arrows.
After that, go back east to where there is an apple tree near the cliff. If you look at this cliff, you can see Rushrooms growing from it. Follow the Rushrooms to climb up the cliff, stopping at the ledges along the way. At the top of the cliff, you find the Owa Daim Shrine.
Get the Stasis Rune
When you are in the shrine, check on the Guidance Stone to get the Stasis Rune added to your Sheikah Slate.
How to Use the Stasis Rune
When you have selected the Stasis Rune on your slate, press L to start it. Then aim the reticle at anything that is glowing bright yellow. Press A to use stasis on that object. The object will temporarily be frozen in time. While its time is stopped, you can hit the object to store energy in it. Hit it more than once, or hit it with heavier weapons, to store more energy. Then when the stasis effect wears off, the object will be pushed with the force that was applied to it while frozen.
Reach Owa Daim
Use Stasis on the rotating gear to make it stop when the platform is flat. Walk across it.
Then wait for the Stasis Rune to recharge. Then go up the ramp and use Stasis to stop the rolling boulder to prevent it from hitting you. After you go up the lower of the two ramps that the boulder was rolling on, use Stasis again (if necessary) to go up the second ramp. There is a treasure chest at the top that contains a Traveler's Shield. Then go down the ramp and go to the side to find an Iron Sledgehammer leaning on the wall. Take it.
Go along the narrow path toward Owa Daim, then use Stasis on the boulder in the way. While it is frozen, hit it with the sledgehammer at least twice. If you put enough force into the boulder while it is frozen, it will be knocked out of your way when the Stasis effect wears off (you can also use Stasis to unfreeze an item that is in stasis). If it did not work, use Stasis again and hit it more than once.
Then when the boulder is out of the way, go talk to Owa Daim to get the Shrine Orb.
Get a Traveler's Bow
Outside of the shrine, use Stasis on the boulder and hit it repeatedly. When Stasis wears off (or if you use the rune on it to unfreeze it), the boulder will move, and you can open the treasure chest that was under it to get a Traveler's Bow.