I have been having a tight feeling in my left side throat.. my family has a history of angina. should i be worried?

Yes, it could be: Atypical angina, especially if you have other risk factors, such as diabetes, obesity, elevated cholesterol/triglycerides, or smoking. You should see your doctor as soon as possible, unless your stress test was completely negative.

CAD: If there are no other conditions at this time to explain it, and you do have a positive family history, it is always best to see your doctor, get the proper evaluation and tests and have peace of mind