To thrust aside or push away someone or something with the hand or body; a transitive verb often somewhat literary.
彼は人混みを突きのけて前に進んだ。
He pushed people aside and moved forward through the crowd.
子どもが母親の手を突きのけて走り出した。
The child shoved the mother's hand aside and ran off.
瓶を落としそうになった彼はとっさにそれを突きのけて助けた。
When the bottle was about to fall, he quickly pushed it aside to save it.