I would strongly recommend that you see either your primary care doctor
or your dermatologist
about this issue. They will be able to examine your skin and help determine whether or not this is an allergic reaction or simple dry skin.
Cetaphil products are generally thought to be very gentle on the skin and less likely to cause irritation or excessive dryness than some other products. Nevertheless, frequent face washing with any product can lead to dryness and itching, because every time you apply the product with hot water you are stripping away the skin's natural layer of protective oils. Your doctor should be able to quickly determine if you are showing signs of over-washing the face. If so, they can recommend a schedule for how frequently you should use the products, and they may also recommend a moisturizing product to add
back some of the lubrication that you are stripping away with washing.
At the same time, they can determine whether this is actually an allergy or eczema, which are two inflammatory conditions of the skin that often require medications, such as topical steroid creams, to clear up. It is usually easy for your doctor to tell the different between dry skin and an allergy or eczema, as the conditions generally look quite different.