A burning sensation in the hip can be caused by a multitude of conditions like hip bursitis, a pulled muscle, or a pinched nerve. Burning hip pain can feel like a sharp, searing, or achy pain in the upper outer thigh and it often results from inflammation. If it lingers, hip pain can be debilitating and when left untreated, the pain can become so severe that you're unable to walk.
Source: Verywell health