Anxiety IS a medical issue. I am a child clinical psychologist, and have worked on children's/adolescents wards of several hospitals.
Anxiety is highly heritable, and since you have an anxiety disorder, your daughter has a genetic loading for it. I am a psychologist, so I do therapy with families, and there are many interventions your family can do that are behavioral (not medicine), but if she has a biologically-based brain disorder (pathological anxiety), these interventions will not be as effective as they could be if she needs medication and doesn't have it.
Don't put the cart before the horse. Get a good, thorough assessment. See your pediatrician for a physical for your daughter. See if there is an underlying medical problem.
If no medical cause is found, or even if something is, take your daughter to a child clinical psychologist who can do a thorough assessment (IQ and personality testing, plus talking to you and to her, separately and toghether) to give ideas about how to help.
You need to find out exactly what is going on with your daughter so you will know how to treat it. If something psychological/psychiatric is going on, why rule out medication altogether? You could always try behavioral techiniques first and then add medication if it were needed after awhile of trying the behavioral measures. Maybe she would need medication and maybe she wouldn't.
I guess what really gets me is that you say you went through "hell," so maybe your child is too, and why wouldn't you try everything to make that stop (especially if it's backed by scientific research, as is much of psychiatric and psychological practice)?
Good luck to your daughter. She is crying out for help, and you need to get her what she obviously needs.