Since the age of 16, she studied at the Școala Populară de Arte in her native city for almost five years, with her teachers including Mioara Cortez.

[6] After the Romanian Revolution of 1989, she finally entered in July 1990 the George Enescu National University of Arts,[5] where her studies lasted for seven years.

[9] She appeared in various roles, among others as the Queen of the Night, Konstanze (Die Entführung aus dem Serail), Donna Anna (Don Giovanni), Lucia (Lucia di Lammermoor), Linda (Linda di Chamounix), Elvira (I puritani), Gilda (Rigoletto), Violetta (La traviata), Luisa (Luisa Miller), Sophie (Der Rosenkavalier), Zerbinetta (Ariadne auf Naxos), Aminta/Timidia (Die schweigsame Frau), Musetta (La bohème), Micaëla (Carmen), Marguerite (Gounod's Faust), Liù (Puccini's Turandot), Medora (Il corsaro), Nedda (Pagliacci), Mrs. Alice Ford (Falstaff), Stella, Olympia, Antonia and Giulietta (The Tales of Hoffmann).

[10] In June 2008, she made her first appearance at the New National Theatre Tokyo with La traviata, and returned in December with Donna Anna in a new production of Don Giovanni.

[11][12] In October 2010, Moșuc made her United States debut at the New York Metropolitan Opera as Olympia in The Tales of Hoffmann, sharing the role with Anna Christy.

She was awarded the "European Furtherance Prize for Music" (Europäischer Förderpreis für Musik) in 1993, and the Premio "Bellini d'Oro" in Catania in 1995.

She received the 2009 edition of "Woman of the Year" award (Femeia Anului) in the category of "Ambassador of Romanian Arts from Abroad".