Snow Moutain Monster Princess summary:

Valerie Bellov is exiled to the frozen mountains as punishment for her mother's sin. There, she gains the freezing ability of a monster that terrified the Empire in the past. On her 19th birthday, she takes her life by her own hands, only to wake up and find herself back in her childhood at the age of 9. In order to change the past, Valerie seeks to meet her stepbrother, Emperor Millard, who exiled her.