Sudocrem contains certain ingredients like Benzyl alcohol which may irritate sensitive skin especially when you are suffering from Rosaceae.
Apart from being allergic to some ingredients found in Sudocrem because of the sensitivity of your skin, in general, itchiness, burning, dryness, and redness are one of the side effects of using Sudocrem.
Regardless of whatever may be the cause of this effect, you should visit a doctor once you notice any reaction to the cream after use.