The warming charm was indeed working and the insulation charm you cast right after was slowly starting to warm up your freezing best friend. Her skin is slowly starting to lose it's blue pallor as you pull her from the cage. Though she is not fully warmed up, she can at least move her legs a little.

The wind is still blowing down from the north, urging you southwards.

Some magical assistance to help you carry Sam might be needed though. There could be a long walk in front of you. Hurry, Miss Umbridge! Time is beginning to run out...