I have a few suggestions for you to aid in your search for a psychotherapist, but first, I want to tell you the good news. Anxiety, on its own, is one of the easiest mental health challenges to address effectively through psychotherapy (and often without medication) in a relatively short amount of time. In my work as a psychotherapist I have seen six to eight sessions of psychotherapy based in Cognitive Behavioral Therapy ("CBT") techniques provide an individual with the necessary tools required to manage ones anxiety for a lifetime. Certainly, consultation with a qualified professional is the first step in addressing your anxiety, so I'm proud of you for following up on your hunch to get some help. You deserve to be more content and comfortable in your own skin, and not have anxiety taking a negative toll on you or your family.
First of all, I would recommend contacting The National Alliance on Mental Illness. You may find them on the web at www.NAMI.org. There you will find online communities and fact sheets related to anxiety, plus ways to connect with local support. NAMI is an impressive organization, offering diverse resources to consumers of mental health services, with local chapters in all 50 states. (Your Western North Carolina chapter is in Ashville, and their contact number is: 828-299-9596).
Another idea is to seek out counseling through your local Community Mental Health Center(s). Not knowing exactly where you are located, I'm unable to provide a more specific site, but most towns have one, and offer mental health services on a sliding scale. Just google the above phrase along with the name of your town, or the largest one nearby.
Certainly, you could speak with your primary care physician. He or she may have a good general knowledge of anxiety. This may be especially helpful if you are experiencing a lot of anxiety or stress-related psycho-somatic symptoms such as high-blood pressure, dizziness, headaches, ulcers and even asthma. Seeing your physician can often be a good jumping off point, and many medical doctors know where to find affordable mental health services even if they are outside the scope of their insurance provider. Your physician could also be helpful by discussing some of the various medication options which may or may not be appropriate for you in conjunction with therapy.
One more option would be to check out local Universities or teaching Hospitals. Many graduate or professional school programs have high-quality mental health clinics where their students intern as a part of their training. Interns are supervised by knowledgeable senior staff while seeing clients from the local community for a very low fee (this is how I did my training).
A final note on anxiety: oftentimes, anxiety is really a symptom of something else, like clinical depression or post-traumatic stress disorder, so it is really important to honestly share with your therapist all of your thoughts, feelings, and experiences to the best of your ability so that an accurate diagnosis can be made. I sometimes explain to clients that anxiety is to depression like running a fever is to having an infection. In other words, you can bring the "fever" of anxiety down, but if you aren't treating the "infection" of the depression, your anxiety will always come back!