I would say 당황스럽다 is more "disconcerted" than "embarrassed", but it usually implies both. It means being surprised and not knowing what to do faced with an unforeseen difficulty. As a result you lose your composure and feel embarrassed about it. Here are some examples from the dictionaries. - 당황스러운 모습 - a confused/embarrassed look. - 당황스러운 사태 - a confounding turn of events. - 당황스러운 상황 - a disconcerting situation. - 당황스러운 얼굴 - a disconcerted look/face. - 네가 떠난다니까 왠지 당황스러운데? I feel kind of at a loss at the news you're leaving. - 나는 회사의 갑작스러운 해고 통보에 매우 당황스러웠다 - I was floored when I received the unexpected termination notice from the company.