I suffer from axiety and thyroid problems but i refuse to take medicine for my anxiety because i am sesative to medicine makes my heart race please help?

Many choices: There are many options for treatment of anxiety. Not all have "heart racing" as a side effect. Talk with your doctor.

Is it hyperthyroid?: If hyperthyroid, your anxiety and possibly the heart sensitivity are due to this underlying condition. Aggressively treating the thyroid should alleviate the anxiety - eventually. In the mean time there are other anxiolytics, a wide array. One can certainly be found different from what you initially tried - and yet be very effective and well-tolerated. Assumes that heart rhythm simple tachycardia.

You need: : Workup of general medical issues (thyroid, cardiac),  psychiatric exam for identification/addressing of intrapsychic/psychosocial issues with  psychotherapy and use of community resources/support systems available & psychopharmacoeducation because "generalization" with anticipated response to medications per past experience limits the biopsychosocial approach/effectiveness. Consider biofeedback.