Chichim Shrine can be found in the Ancient Prison Ruins, which is reached via a pit of quicksand in the Gerudo Desert.
Shrine Location
Chichim Shrine can be reached by going to the Ancient Prison Ruins via the quicksand whirlpool at -3100, -3063, 0008. To reach the shrine, follow the instructions on the Ancient Prison Ruins page.
Rauru's Blessing
The reward in the shrine is a random Zonaite Spear.