Dah Hesho Shrine
Provided Link has initiated the Hylian Homeowner side quest in order to begin building Tarrey Town, Dah Hesho Shrine is the preferred travel gate to reach the budding settlement, since it directly overlooks its location from a cliff from which Link can paraglide. The travel gate also provides close access to a Fairy Fountain to the east.
Bear in mind that Akkala is very susceptible to thunderstorms, so warping to the shrine may necessitate unequipping metal weapons. However, storms tend to clear once Link reaches Tarrey Town close by.
A Minor Test of Strength
The Guardian Scout II within the shrine wields an Ancient Battle Axe. After defeating him, open the treasure chest to get a Giant Ancient Core. Then speak with Dah Hesho at the alter to get a Spirit Orb.