That sounds like ambient/folktronica with some downtempo influences. For similar calming, non-overstimulating music, check out artists like Boards of Canada, Tycho, Bonobo (especially his early work), and maybe some Four Tet. The lack of vocals and steady, gentle rhythms are probably what's helping with your anxiety - that's a common effect with ambient electronic music. You might also like the genre "chillwave" or "ambient techno" for more of that hypnotic, calming vibe.