The Secret Within Her Mask 2005 on netflix

Ballerina Jung always wears a mask to hide her facial hairs. Everyone, including her boyfriend Goo-chul, around her recommend her against having a dangerous hair removal surgery yet reluctant to face her without the mask. Eventually she decides to take it. At the very last second in the operation room, she realizes something she’s been denying all along that her hairs look good on her.