From Longman Dictionary of Contemporary Englishwave something ↔ aside phrasal verbREJECT/NOT ACCEPTto ignore someone’s opinion or ideas because you do not think they are important He waved her protests aside. → wave→ See Verb table
Examples from the Corpus
wave aside• Bunny brought Meredith a plate of sandwiches; he waved them aside.• Soldiers with automatic rifles hung out of the windows waving us angrily aside.• They took their leave unceremoniously, Cranston waving Colebrooke aside.• When I offered to carry her sack she waved me aside. 