It feels much worse internally as it does to people who feel your limb. Unfortunately temperature drops in limbs are very typical for cold stage RSD. In the first stage the affected parts are going to be hotter than body temperature, then that starts to fluctuate until finally your limbs feel like icycles. Putting your legs in water might help (both for hot as for cold RSD), just make sure you use water at body temperature or slightly more elevated (cold RSD) or slightly less (hot RSD) than body temp., not hot or icy cold water.