Icebreaker

Indira Henry is the daughter of a British Officer, Norman Henry and his wife that he married while in India, Arya. To escape a marriage to the son of one of her father's Naval buddies, Indira hires a ship and sails north, running into a storm that ruins her ship and knocking her unconscious.
When she wakes up, she's on an island surrounded by ice and there's a woman tending to her wounds.