Can my dog be allergic to some cats but not all cats?

My dog suffers from allergies, and while he has always been around cats, he seems to become worse when in the vicinity of my daughters cat who is an indoor cat. My daughter just recently moved in temporarily and has a cat that she keeps in her room. I personally have 4 cats but they are outdoor cats. They have a pet door that leads to the sun room and they are free to roam the property. My dog does not have a problem with any of them and even one of them is allowed indoors as she is a special needs cat. My dog seems to becomes severely congested when ever my daughter allows her cat to roam the house. To me, it seems obvious that the problem is the cat but my spouses refuses to believe that is the case.