To feel shy or bashful; to blush or show modest embarrassment (intransitive verb).
褒められて彼女は恥じらって笑った。
She smiled bashfully when she was praised.
初対面の相手の前で少し恥じらいながら自己紹介をした。
She introduced herself with a little shyness in front of the person she had just met.
子どもがほめられて恥じらう姿はかわいい。
A child who blushes when praised is adorable.