I've been having severe cold hands and feet lately. If it gets worse, will it lead to paralysis?

I've always had cold hands and feet, but lately, I've noticed my cold hands and feet are getting worse. Even a brief exposure to cold air causes my hands and feet to shiver and become as cold as ice. I've even been surprised to touch my own cold hands and feet. If my cold hands and feet are severe, could they even lead to paralysis due to poor circulation? I'm careful, but it's getting worse, and I'm worried.