To brush or sweep something away (with a hand or object); figuratively, to reject or repulse an idea or offer.
赤ちゃんが顔にかけた砂を母親が優しく払いのけた。
The mother gently brushed the sand off the baby's face.
彼はその提案を一蹴して払いのけた。
He dismissed the proposal with a single sweep.
来訪者を追い払おうと腕で払いのけた。
He tried to drive the visitor away by waving him off with his arm.