Hello,
Your symptoms of dry tight throat, uneasiness and asthma and difficulty in breathing are pointing towards the diagnosis of allergy to garlic, in any form. As you are allergic to edible garlic, so you can be allergic to its smell and touch or contact also.
Garlic-sensitive patients showed positive tests to diallyldisulfide, allylpropyldisulfide, allylmercaptan and allicin, all present in garlic. While cooking, garlic releases various essential oils and people who are allergic to garlic can show cross reactivity to these essential oils also.
Pls see that since you are allergic to garlic, you avoid being around when garlic is cooked or it may cause life threatening anaphylaxis.
Take care and pls do keep posting in how you are doing.
The others in your home need to understand that many reactions, whether an allergic reaction or a sensitivity, cause real physical discomfort. Just because the cause for a pain is not known, does not make it less painful, in fact, in makes it more uncomfortable due to not knowing what can be expected to happen next. I have read that chemical sensitivities (odor reactions) can be generated by items that may be a food allergen as well as by toxic or strong chemical products. Someone with asthma must be especially careful of odor reactions. Odor reactions are a first defense generated by your body to avoid that substance, usually for a very good reason. Many asthmatics have asthma problems from "smells" in the air. My asthmatic son can not stand (first he would get irritated, then he'd cough alot) me to use certain cleaning products. If I continued to use those same products near his room, I'm sure he would have had severe problems. I have some strong food allergies and sometimes the smell of those foods can make me nauseated. As far as garlic odor being able to cause an asthma attack, I can only say that I have heard of onion fumes causing an asthma attack. That threat should not be a requirement in a household where someone is made ill. I hope that they can understand that you are not just being "picky" but that you have a real condition that requires avoidance.