Frozen toes could be a sign of Raynaud’s syndrome, where blood circulation in feet and hands is deficient. This can’t be fixed by warming up with a fire and cozy socks. Reynaud’s is linked to autoimmune conditions, so this needs to be checked out.
While these may seem like normal things that you experience every day, it’s worth looking into further. Your body could be trying to tell you something before it’s too late.