The West Highland white terrier is prone to allergies and other skin diseases. One of these conditions is Westie Armadillo Syndrome or epidermal dysplasia. In this condition, the dog's Respiratory allergies may be caused by cigarette smoke, certain plants and grasses, inhaled chemical vapors, dust mites, and pollen. Pollen allergies will be seasonal generally limited to Springtime. Bathing your Westie to remove allergens from their coat and skin may help. We will take an in-depth look at skin problems that are common in Westies, as well as discuss some West Highland Terrier allergies. Causes Of West Highland Terrier Skin Problems: 1. Atopic Dermatitis. As mentioned above, this is suspect number one when it comes to itchy and red skin in West Highland Terrier breeds. BMuFmR.