This is nothing to LOL about!
People work the same way (though these are youkai, so there's always the chance that they follow different rules in that sense). A good way to check is to, say, temporarily slow the blood flow to your hand. As the amount of blood getting to it decreases, so will the temperature. Touch it, and it will be cold. If you put your hand close enough to the cold hand, you may even feel the coldness exuding from it without touching it.