Softened, numb, peeling skin as a result of wearing wet socks for a long period of time could result in:

The condition described—softened, numb, peeling skin resulting from prolonged exposure to wet socks—most accurately aligns with trench foot. Trench foot occurs when feet are exposed to cold and wet conditions for an extended time, causing the skin to swell and become soft, leading to numbness and sometimes peeling as the skin recovers.

Frost nip, on the other hand, refers to superficial frostbite that affects the skin's outer layer, often resulting in redness, tingling, and discomfort due to freezing temperatures, not necessarily wet conditions.

Chilblains refer to painful inflammations of small blood vessels in the skin, usually occurring after exposure to cold and are characterized by redness and itching, which do not match the description in the question.

Hypothermia describes a dangerous drop in body temperature after prolonged exposure to cold but does not specifically pertain to the effects localized to the skin from wet conditions. Hence, trench foot is the most suitable answer for the symptoms given.