Final answer:
The music therapist in the described scenario is using the creative music therapy approach, which allows for the use of different artistic forms, such as music and drawing, in a therapeutic setting.
Step-by-step explanation:
In the scenario presented, the music therapist is using an approach that is aligned with creative music therapy. This model involves interactive processes where clients engage in music listening, improvisation, and creation, often combined with other forms of expression like drawing. The therapist's use of playlists, listening exercises, and subsequent drawing based on the music to facilitate verbal sharing is characteristic of the creative approach where various art forms may be incorporated to support the therapeutic process.
The Guided Imagery and Music (G.I.M.) therapy also involves listening to music but is typically more structured with a focus on imagery and relaxation. Free improvisation is another method that could be a part of creative music therapy but would focus more on spontaneous music creation than structured listening and drawing activities.