Ms. Trajković was born in Kosovska Mitrovica, SAP Kosovo, SFR Yugoslavia and started her early training at the Stevan Mokranjac Music School in Pristina and continued it at the University of Pristina's Faculty of Arts, where she was a student of Professor Dunja Košanin.
She graduated in 1998, and completed her postgraduate studies at the same university in the class of renowned Professor Marko Savić (2006).
As a soloist and chamber musician, Aleksandra Trajković has performed throughout Serbia and the former Yugoslavia (Belgrade, Pristina, Skopje, Podgorica, Prizren, Kosovska Mitrovica, Kruševac, Lazarevac, Zvečan, etc.)
Her students won numerous prizes at various competitions held in Zemun, Šabac, Kragujevac, etc.
[citation needed] Aleksandra Trajković has been rewarded the Vidovdan's Prize by the Lazarevac Municipality for extraordinary pedagogical results (2001, 2002).