Your blood pressure would have to be consistently high, for a long period of time to develop heart disease. If your blood pressure went very high, I suppose you could have a stroke, but it would have to be really high. If your anxiety causes you to have consistently high blood pressure, you should take medication to keep it in the normal range. I take Atenolol twice a day. I also have a blood pressure monitor at home so that I can take my BP when I'm not stressed, like at the doctor's office, and I can make sure my pressure stays in normal range over time by checking my BP several times a week. My doctor says that since Xanax brings down my blood pressure, it is related to anxiety, that if I had heart disease, my pressure would be high even after taking Xanax.