In Supergirl: Woman of Tomorrow, the Kryptonian travels to a planet with a red sun. This diminishes her superpowers so she can be less tolerant to substances (e.g., alcohol), but it also diminishes her invulnerability experienced on Earth with a powerful, yellow sun.
While on the red sun planet, Supergirl is penetrated with arrows, but she still survives, giving her a hedgehog appearance when attacked.