A "budding writer" refers to someone who is starting to become a writer. They may be just beginning to write and show potential or interest in becoming a skilled writer in the future. Full definition
Book clubs could certainly discuss the merits of a children's literary society for budding writers, how revealing intimate details about yourself can affect relationships, how writers get ideas for their stories, and keeping secrets. (bookbrowse.com)
The tender 1933 version confirmed the star power of Katharine Hepburn as budding writer Jo. (orlandosentinel.com)
To date she has several popular titles to her credit including His Kidnapper's Shoes, Guilty Innocence, and The Second Captive to inspire other budding writers hoping to pen their first book. (bookmarketingtools.com)