Hello! Thanks a lot for your answer and I actually followed your advice. The ENT was much, much nicer and actually looked down my throat with a camera and didn't dismiss any of my symptoms as imaginary ones. He couldn't find anything wrong at that moment, but he assured me we would keep looking and also asked me to do a ecography of my whole throat structure so we can see what we're dealing with. He also very sincerely told me I should ditch this allergist and look for a new one (which I did, I will see her in two days). He was nice, careful and calm and I actually feel much better knowing that my life is not, in fact, at stake.
Thanks a lot for your kind words, they helped a lot