Two things here. One is that all sharp pain is not nerve related. Most pain is of a soft tissue origin, no matter what the description. The other thing is there is likely to be weakness in the muscles of the left hip. See if you can check strength of the hip flexors and abductors to start. You might find pain on either or both of these, which indicates compensation of other muscles, eg adductors, to counter the weakness in the abductors or flexors. Weakness is usually caused by sympathetic dysfunction not controlling blood flow to the area correctly, or by fascial tightness in the area or surrounding the muscles. Tightness can be treated with myofascial release and stretch. Strength will normalise if the muscles have space and blood flow. More stability in hips means less compensating, thus less pain.