In The Legend of Zelda: Breath of the Wild, the Hylian Shield can be obtained in two main ways, and if it breaks, it can be purchased from a specific vendor. Here are the details:

1. Obtaining the Hylian Shield:
– Method 1: Exploring Hyrule Castle
– To get the Hylian Shield, you need to infiltrate the West side of Hyrule Castle. There are two main paths to reach the Lockup:
– Path 1: From the shrine on the outskirts of the castle town, glide down to the West passage entrance. Use a minecart to ride along to the Lockup, and then look for a bombable wall to enter the cells.
– Path 2: Sneak along the northern edge of the castle Town prison to find a docked raft. Use a Coro Leaf to raft over the northern side of the moat and find the main entrance to the Lockup. Use a Crowns Rune to open the gate once inside.
– Inside the Lockup, navigate through the cells and defeat various monsters until you reach a large open circular room full of bones. This room contains a Stalnox, a skeletal Hinox miniboss.
– To defeat the Stalnox, shoot its eye with explosive arrows to stun it, then deal major damage to the eye. Once the Stalnox is defeated, a chest will appear containing the Hylian Shield.

– Method 2: Using an amiibo
– You can also obtain the Hylian Shield by using the Breath of the Wild Zelda amiibo. However, this method is random and may take multiple attempts to get the shield.

2. Purchasing the Hylian Shield if it breaks:
– If the Hylian Shield breaks, it can be purchased from a vendor named Grante in Tarrey Town after completing the Side Quest “From the Ground Up” and building Tarrey Town at Lake Akkala in the Akkala Region.
– The cost to purchase a new Hylian Shield is 3,000 Rupees, and Grante will only sell one at a time.