Kyveli Mathioudaki was born in 2001 in Rethymno, Crete. She started flute lessons with the Ukrainian teacher Markiyan Cheredartsurk at the age of 9 at the Municipal Conservatory of Rethymnon. She graduated from the Music School of Rethymno while at the same time she was a regular member of the Rethymno Municipality philharmonic and orchestra and the Youth Symphony Orchestra of  Crete, municipality of Heraklion under the direction of Miltos Logiadis.

Since 2020 she lives in Thessaloniki where she studies at the Department of Music Science and Art of the University of Macedonia and at the same time she continued her music studies in flute with professors Nikolos Dimopoulos and Lydia Kokorias.
In June 2024, she received the diploma in flute with Honours & 1st prize from the Neon Conservatory of Thessaloniki, as well as a degree in Harmony with Honors, class of Georgios Themelis.

Since September 2022, she is a regular member of the Thessaloniki Concert Hall Youth Symphony Orchestra (MOYSA), while she has partnered with the orchestra as a soloist at the Thessaloniki Concert Hall and the Larissa Municipal Conservatory, as part of the Musikotropo festival.

She has taken part in panhellenic music competitions:
2nd prize, Panhellenic music competition T. Pappas, November 2021
2nd prize, Panhellenic music competition Orpheus Soloists, May 2022

In addition, she has participated in numerous flute seminars and master classes (most recently the master class with the internationally renowned flutist Denis Bouriakov - September 2023)

From 2024, she teaches flute at the Philippos Nakas Conservatory as well as at the Nikopolis Conservatory, Melodeion Conservatory and MuSA Conservatory.