In this case, "flamenco" is an adjective and may be used in masculine or feminine, singular or plural.
- La
bailaora* flamenca
- Las guitarras flamencas.
- El cante flamenco.
- Los
cantaores* flamencos.
If you don't say "música", then it is "el flamenco", as a noun referring to the singing or the dance.
*"Bailaor(a)" and "cantaor(a)" are words accepted by the RAE and are used only for people who dance or sing flamenco. The dancers and singers of other kinds of music are called "bailarines(as)" and "cantantes".