I've heard that certain frequencies naturally have some autonomic effects in some people. I've also heard that tinnitus sometimes falls into that range.
I can't really find much information on these ideas together as everything that comes up about tinnitus related anxiety is about how it causes stress when people worry about the condition's effect on their lives, or about anxiety being able to exacerbate tinnitus.
Low frequency noise and annoyance
Stress Recovery Effects of High- and Low-Frequency Amplified Music on Heart Rate Variability