Fetching details from the dictionary...

to twist; to screw; to wrench
to sprain
「捻る」 has another reading with different meanings.
タオルを捻って水をしっかり絞り出した。
I wrung out the water by twisting the towel.
彼は腕を捻られて痛がって声を上げていた。
He was in pain with his arm twisted.
彼女は髪の毛を指で無意識に捻っていた。
She was twisting her hair with her fingers.