This invention relates to a medicament or a dietary supplement comprising the Aspergillus niger aspergilloglutamic peptidase that is capable of hydrolyzing plant food allergens, and more particularly, alpha-amylase/trypsin inhibitors, thereby treating diseases due to an innate immune response in humans, and/or allowing to delay the onset of said diseases. The present invention relates to the discovery that the Aspergillus niger aspergilloglutamic peptidase is capable of hydrolyzing alpha-amylase/trypsin inhibitors that are present in wheat and related cereals said inhibitors being strong inducers of innate immune response. Furthermore, the present invention relates to a method for hydrolyzing alpha-amylase/trypsin inhibitors comprising incubating a composition for food consumption comprising alpha-amylase/trypsin inhibitors with the Aspergillus niger aspergilloglutamic peptidase, wherein the inhibitors are hydrolyzed. It also relates to an enzyme composition comprising the Aspergillus niger aspergilloglutamic peptidase and an additional enzyme, and to foodstuff comprising the Aspergillus niger aspergilloglutamic peptidase.