Vuksic began to concentrate on conducting over piano, and began to work with the University's adult choir as well. Shortly after graduating, she met and married Cesar Vuksic, a pianist. The ceremony was on February 14, 1969, in Totoras. Cesar wanted to leave Argentina, and in 1972, he was offered a scholarship to Ball State University in Muncie, Indiana. Nelly followed her husband a year later, along with their son, Alejandro. After arriving, she was also offered a scholarship at the school of music there. While studying music, she also learned to speak English. Nelly became the conductor of the University's women's chorus, and helped the concert choir. She graduated with her PhD in conducting in 1978, having been awarded the University's Music Concerto Award in both 1976 and 1977. Afterwards, she moved with her husband to Western Michigan University, where he was a visiting tutor. Vuksic taught piano, as well as conducted the University's choir and orchestras.
In 1979, Nelly left the United States when she was offered a role at the Conservatory of Tolima in Columbia. She later said that this was a turning point in her musical career, as she learnt about Latin American music. She became conductor of the group Los Coro de Tolimo, and won the Concurso Polifomico Internacional Award in 1980 with the group Coro Ibague. The couple moved once again in 1982, back to the United States where they lived in New York City. They had difficulty finding work, and Nelly took up work cleaning houses. After attending an Italian poetry reading, she offered to accompany a tenor on the piano and the duo began to play together in night clubs and restaurants.
Through a contact in the Americas Society, Nelly's details were passed to choral director Hugh Ross, who hired her as a singer. As a result, she founded a vocal group which later became Americas Vocal Ensemble. In 1982, the group recorded some works of Colombian composer Luis Antonio Escobar, who wrote a note for the cover of Las Cantatas Madrigales praising Nelly's interpretation. The group went on to release several further albums, including Opus One: Americas Vocal Ensemble Performs the Music of Joel Wallach, Music of the Americas and Hispanic Christmas Collection. As a result of this work, Nelly began to conduct other groups, including the United Nations Singers. Along with her work with the group, Nelly became a teacher at the Bloomingdale School of Music on the Upper West Side in 1982. She went on to work at the Friends Seminary between 1985 and 1990, and later at Columbia University. She has since become the Director of the Conservatory Chorale at the Brooklyn Conservatory of Music.[4] In 1993, her biography was included in the book Notable Hispanic American Woman by Diane Telgen and Jim Kamp.[5]