Anxiety cannot cause you to have long term hypertension. Blood pressure causes are different and cannot be as a result of mental health issues. However, anxiety can cause your blood pressure to spike, but that does not necessarily put you in any danger.
There are things you can do to help control the effect of anxiety and blood pressure can have on you.
First, be sure you talk with your doctor about your concerns. The doctor can determine if you do have high blood pressure from other causes and if you need medications, he or she can prescribe them for you. Also, talk with your doctor about how blood pressure works, what is normal and not normal, and how anxiety can affect your blood pressure. Also, if you do have blood pressure, talk with your doctor about taking a baby aspirin and an Omega 3 supplement. Omega 3's especially have been shown to help enormously in preventing many common ailments and keeping your body and blood pressure normal.
Two, keep yourself healthy. This is very much in your control. Eat right, exercise and get enough rest. Common sense, I know, but it is important. How you treat yourself can help you control your chances of developing something like high blood pressure. Plus, research has shown that how a person lives their life and how they treat themselves affects how long they live.
Three, keep in mind that many people walk around every day with very high blood pressure and don't even know it. Even people under treatment for blood pressure problems experience spikes in blood pressure every day. It is a normal part of your day to experience ups and downs in blood pressure. Your body is equipped to handle these variations.
Four, educate yourself. Read books on anxiety and the effects of blood pressure. Also, learning a basic understanding of how blood pressure works will help you from imagining the worst. One word of caution however- there is a lot of research on line but be careful to check anything you read with your doctor to be sure it is accurate.