"Mild panic" refers to a feeling of anxiety or fear that is not too strong or overwhelming. It describes a sense of worry or unease that is not severe. Full definition
This is my first time speaking openly about this (mild panic attack happening over here) but I'm trying to get pregnant. (mindbodygreen.com)
I'm constantly in a state of mild panic about the company and how we're doing, and you share this with me and in some sense help relieve me of it. (businessinsider.com)
It caused mild panic amid the ranks of my unemployed classmates. (rocketlawyer.com)