Doc recomm naproxen 500 mg 2x day to treat my tendonitis (inflammation.) worried that bottle says health risk for women of childbearing yrs. worry?

Only if pregnant: Naproxen is a non steroidal anti-inflammatory which should be taken with food for short period of time for pain/inflammation. Short term, there should be no contra-indications if taken as directed. Of cause, the cause of the inflammation must be addressed. Lastly, your overall health should be good and there should be no interactions if you are on other medications.