Personally, I'd feel obliged to take away all that coldness; I live in Mallorca and its cold enough here already! The fur should, in my intense little world of chaotic thought, be part of a reflection of warmth, an invitation to a cuddle. As it is, I feel more inclined to offer the poor girl a hot-water bottle.
That's the trouble with these 'criticky' zones: you start by taking something at face value (no pun intended, honestly) and before you know it, you find you've rewritten someone's script. There should be a health warning somewhere. Maybe keep out of the cold?