Warrior of the Wild by Tricia Levenseller

WARRIOR OF THE WILD is about eighteen-year-old warrior Rasmira who fails her coming-of-age trial after being betrayed. Banished from her village by her father, the chieftain, she accepts an impossible task in order to redeem her honor: kill a god and survive the monster-riddled wilderness it lives in. Tricia Levenseller packs this Viking-inspired YA standalone fantasy with dangerous quests, foul creatures, friendship, and romance.