Obi-wan Kenobi’s main composer has been revealed as Natalie Holt, who also composed the score for the MCU series Loki. She’ll be the first woman to compose for a live action Star Wars project. John Williams is still composing the main theme and there are details about that in the article as well.

https://www.vanityfair.com/hollywood/2022/04/obi-wan-kenobi-composer-natalie-holt-john-williams?mbid=social_twitter&utm_social-type=owned&utm_medium=social&utm_brand=vf&utm_source=twitter

Obi-Wan Kenobi Composer Natalie Holt Reveals “Haunting” Approach

The Loki soundtrack was fantastic and after reading about Natalie’s approach and style I’m really excited to hear her work.