Wiktionary
vb. (context idiomatic English) To reject or dismiss with a hand gesture.
Usage examples of "wave away".
The Bolo's hull had done more than shield the colony from the blast, it had redirected it, sending a crescent-shaped shock wave away from the walls of the colony that had flattened trees for two kilometers, and killed aliens by the thousands.
He raised a hand to wave away his own irritation at the question, only to find her sword tip at his throat.
Torgar, Ivan, and Tredwho continued to stubbornly wave away any who thought to tend his woundsbegan to inspect the region near the center of the tunnels within the ridgeline, seeking the thinnest area of stone blocking the way to the east and the continuing battlefield.
Clive, who had indeed been revolted at the sight of the spider woman clutching the still-kicking body of the lepine creature, tried to wave away his reaction, but immediately realized it was pointless.