There are individuals who are very sensitive to strong odors. The individuals experience reactions similar to the ones you have described. These can be on an allergic basis or on a hypersensitivity type reaction that does not follow the exact same pathway to a reaction. To you, the end result may be the same with either mechanism. One other possibility is that you may be experiencing a reaction in your vocal cords, such that with an irritant exposure the vocal cords shut creating a situation that causes difficulty breathing, just like a severe allergic reaction. Other types of therapy might help this problem.
In an allergic reaction, avoidance is the best means of controlling this problem. However, to rule out an abnormal response by your vocal cords, it may be reasonable to consult with an ENT specialist.