I had a large hemlock struck like that and it was dead the next year. Didn't care much for softwoods that drop needles, so it wasn't a big deal. Just wait it out and time will tell. Sometimes the least damaged ones are the ones that don't make it and the most severely struck, seem not to mind. Only time will tell. If it does die, let it stand for an additional year and then cut it. It is easier to burn if you allow it to be standing dead wood for a year or two. I know of a fellow that lost a big oak and he would cut branches from the tree and burn them each year until the tree was just a pole. Then he cut it completely. Said that it was easier that way than stacking a complete tree as firewood. He had the luxury of have a friend with a bucket truck to cut from....