1. in a quiet, modest, or reserved manner; without drawing attention to oneself
2. in a manner that appears serious or proper, sometimes in a way that seems affected or insincere

Examples

• She sat demurely in the corner, listening to the conversation without interrupting.
• The actress smiled demurely at the camera during the interview.
• He spoke demurely about his accomplishments, avoiding any boastfulness.
• The young woman dressed demurely in conservative clothing.
• She demurely accepted the compliment with a slight nod.
• The children behaved demurely during the formal dinner.
• He glanced demurely away when she caught his eye.