He sounds unhelpful because he isn't taking your concerns seriously. Whether you meet criteria for an anxiety disorder seems less relevant. The point is that you've identified a set of concerns for which you're seeking help. I don't have any experience with a life coach but do have experience with psychiatrists. Psychiatrists generally are there to diagnose and manage mental illness. This has its place and I've at times found it very helpful. But few psychiatrists have any kind of in-depth training in psychotherapy (especially of the longer-term psychodynamic variety.) They are not as helpful with issues of self-esteem and feeling stuck existentially as they are at managing symptoms. (And I don't disparage the worth of managing symptoms with meds or whatever, just making the point that you don't hire a plumber to fix your car!)
Also: "Just" a victim of parenting? Bad parenting can be pretty devastating and sounds like it has been for you. Good therapy should, as you say, give you tools to move forward and help you make sense of your own story. I suspect that there's a lot there to explore that a coach won't be able to do. But maybe now you'd rather made some concrete changes and explore later (or never).