Zou no Haji, Tsuru wa Odoru

Hanada was always self-conscious about his rough skin, cracked and peeling, like a hide of an elephant. In contrast, a beautiful girl in his class had everything he didn't, an open and outgoing personality, clear and radiant skin, lustrous hair, even her steps bounced like a crane in dance. But she proved more than those attractive attributes, and he found himself drawn to her, even as he despaired at his chances. But an unexpected invitation, and a clash of hope against insecurity...

(Source: MangaDex)