Sansa will be a great leader of the North and she will perhaps gain more influence than even her brother. In the first season, Sansa Stark seems to be bothered by the violence around her. However, as the seasons progress, Sansa witnesses violence and suffers greatly. Her experiences have prepared her well to be Lady of Winterfell. She is prepared to bring order to the North.
She will be an effective leader as the North prepares for winter. Jon Snow will continue to be protective of his half-sister Sansa and will help her but I think he has full confidence in her ability to lead the North.