Occasionally either strep infections themselves or a reaction to an antibiotic can cause rash or peeling of the skin. This is usually self limited and not a problem. However if the area becomes painful or if you notice rash or peeling on other parts of your body or in your mouth you will need to let a doctor
know right away.
More like is the possibility that you have a fungal infection of the foot, called athlete's foot. The fungus that cause athlete's foot can be picked up in common environments such as gyms and shower stalls. They causes itching, redness, and peeling of skin, sometimes with odor. They can usually be cleared up with good skin hygiene and an antifungal cream, many of which can be purchased over the counter.
Another likely possibility would be something called deshydrotic eczema
which is a type of eczema which specifically affects the palms of the hands and soles of the feet. It can be controlled with good moisturizing and, sometimes, with steroid creams if their are spots that are taking a while to go away.
Talk to your primary care doctor
, who can help you figure out exactly what is going on.