게 부끄러워하다

act embarrassed, be shy about it

An adverb in "-게" plus 부끄러워하다, "act embarrassed, show shyness". Every one of these seven lines is the same question, 왜 이렇게 or 왜 그렇게 부끄러워하세요 — "why are you so shy?" — teasing someone who has gone bashful on camera. The verb form matters: 부끄럽다 is feeling embarrassed yourself, while 부끄러워하다 describes someone else visibly showing it, which is why it appears here in second-person needling.

Register: teasing, spoken