Glass no Kamen desu ga (2013)

Kitajima Maya, a 13-year-old girl with a talent for acting, was discovered by the reclusive actress Tsukikage. The story follows Maya’s growing up, intense training, overcoming challenges, and evolving into the foremost actress of her generation (she is about 20 so far). Maya’s greatest rival is Himekawa Ayumi, the beautiful daughter of a famous movie couple. They ultimately vied for the most sought-after role—the "Crimson Goddess". An equally important subplot Maya’s relationship with the handsome and ruthless entertainment mogul Hayami Masumi, who secretly became her number one fan, but misunderstandings and bad-timing obstructed their romance... (from manga)

Source: www.anisearch.com/anime/8401