Training around injury

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In the past two years I've been on a wild ride, /fit/. After recovering off of Dequervain Tendonitis one year ago, and managing my massive weight gain from making degenerate social gains through alcoholism, I started running PPL and have gotten back on track with Hypertophy. Recently, however, I've started feeling symptoms that are linked to Rotator Cuff Tendonitis. Should I take a week or two away from the gym like doctors say? Or should I try to work around it and push forward. I've already done a weeks worth of training with the injury and the pain hasn't increased too much