Uh--an allergic reaction requires protein. There are no proteins in tobacco smoke.
Uh, my Pulmonary Specialist told me to stay away from cigarette smoke because I'm allergic to it. I carry an Epipen in the case that I'm around cigarette smoke and have an asthma attack. My asthma is triggered by allergies, cigarette smoke being the worst, according to him. I've had some near deadly attacks from exposure to cigarette smoke. I don't patronize any business that allow smoking inside.
Does house dust contain protein? House dust brings on asthma attacks. Lots of allergens don't contain protein. Some people are highly allergic to tobacco smoke and it causes them to have asthma attacks and some other nasty reactions.