The Blizzard Tiger told Shen what happened to her. It was a dark scheme to seize the Chief Position of the Blizzard Tribe. Yes, the mother tiger was a Chief of the Blizzard Tribe that consisted of over two hundred Blizzard Tigers.
The husband of the mother tiger tried to seize the position for himself and ambushed her when he said that he wanted to take them for a walk. She was not expecting that her husband would do that and fell for the trap. While she managed to save the three children she suffered a grievous wound and escaped.
Going back to the village was not a choice for her. If she returned in her condition, her husband would challenge her for the position of the chief tribe. That was the Blizzard Tribe's tradition to choose the chief tribe. The strongest warriors within the tribe would fight and the strongest amongst the strongest would become the chief tribe.