conquer (someone's) fears

Translations
побороть (чьи-то) страхи
She managed to conquer her fears and speak in front of the large audience.
Она смогла побороть свои страхи и выступить перед большой аудиторией.
Definitions
To overcome or gain control over someone's anxieties or phobias, often by encouraging them to face and confront what they are afraid of.