Yes, it is quite disappointing, through no fault of your own. The surrounding snow and cold chills the soul even more than the body.

[ She doesn't actually have any shards inching their way to her heart, but the point still stands that they're not in great conditions. The palace is completely made of ice, which means it can't even serve as shelter against the elements. She has a emergency backup in case anything goes wrong and the castle suddenly disappears or something, leaving them all to freeze in the snow, but...it consumes a lot of mana, it won't last forever, and would essentially out her true identity. Not fun! ]