It is actually possible to be allergic to cold temperatures, in that exposure of the body to cold air can ellicit a true immune response. This happened to my daughter when she started going to college in Boston. In her case its the cold air hitting her bronchial system that triggers first an immune response, which if it isn't controlled can then result in a secondary bacterial infection. So, maybe discuss this with a doctor. She needs to avoid breathing cold air, and has a respirator if she becomes symptomatic.