Is it the whitening products that you buy from a chemist? If so you are unlikely to get great results from this. You may have a shade change of 1,2 sometimes 3 shades, but not much more. I wouldn't have thought you would be immune to it, (in all my years of Dental Nursing (15) I haven't come across some-one who is immune to it) unless you have very heavily stained teeth. If you smoke heavily, drink alot of red wine, strong tea or coffee, these will hinder any results you may get. In this case I would contact the chemist/manufacturer (sp) & say that the product does not live upto expectations. But then, shop brought products, no matter how well they say they do, don't perform very well. If sold over the counter, the whitening agent is much much less than in those supplied by a dentist.
Are you applying it to a tray & then sitting it over your teeth? If so & it is irritating your tonsils, you may be putting too much on the tray & causing leakage, try to say upright when using, don't lie down, as this will cause any excess to go to the back of your throat & burn. The trays should never be filled to cover the back teeth (can't see them anyway, so don't need whitening) put in just enough to cover the incisors, canines & premolars, this will prevent irritation too.
The product that dentists supply, either for home whitening or in-surgery whitening, is alot more concentrated, therefore giving better results. If you have been supplied a product by a dentist, I would be inclined to go back for a review & ask why your teeth are not re-acting.