Her first official song is a duet with her sister Tijana called “Igra luda” (Crazy game), released in 1997. Her music career broke through in 2003 when she sang “1003” at the Montenegrin festival Budva, where she placed 2nd.

In 2005, her first album was realized under the title Sino (English translation “Blue”). The music producer and composer of this album is Aleksandar Masevski with whom had Tamara cooperated since 2004. The album won Album of the year (2005). Hits from that album are: “Sino”, “Molci, molci” (ft. Ronin), “A, shto ako?”, “Ljubovna prikazna” (ft. Ugro), “Najverni prijateli”, “Ljubi, ljubi” (duet with Tuna), “Shetaj” etc.

In February 2008, Tamara won the Skopje Fest 2008 with the composition “Vo ime na ljubovta” featuring Rade Vrchakovski and Adrian Gaxha. The song was a hit in the Balkans, and was predicted to do well in the ESC 2008. The song was sung in six languages (Macedonian, English, Serbian, Turkish, Russian and Albanian) and the quality video was made by Dejan Milicevic. In the Eurovision Song Contest 2008 they set in the second semifinal on the number 18. They sang the English version of “Vo ime na ljubovta” called “Let me love you” and reached 10th place in the semifinal. With the decision of the jury they failed to qualify.

Her older sister is Tijana Dapčević. On 27 June 2015, Tamara married former basketball player Aleksandar Dimitrovski. They have one daughter named Hana and one son Daren.

In December 2019, Tamara participated in the 21st edition of Kënga Magjike with the song “Monsters” and finished fifth overall.