Answer:
Te gusta cantar
Step-by-step explanation:
Te gusta cantar means, "Do you like to sing," and if she has a microphone and is listening to music, she probably likes to music, and "Te gusta cantar" is the only choice related to music.
Te gusta leer means, "Do you like to read," which is not related to music.
Te gusta estudiar means, "Do you like to study," which is not related to music.
Te gusta escribir means, "Do you like to write," which also doesn't relate to music.