Prep. Put all the dressing ingredients in a bowl, and whisk them together. Put the dressing in a cruet or jar with a lid so you can shake it well and serve it on the side. I never dress salads in advance. They get soggy waiting for dinner, and some folks like lots of dressing while others prefer less.
Assemble the salad by laying down the bed of greens on individual plates. Top with the cheese. Keep chilled in the fridge.
Melt the butter in a pan or in a bowl in the microwave. Slice the apples into quarters, cut out the core and stems, and then cut the quarters in half again. Leave the skins on and toss them into the butter immediately before grilling so they can brown. Sprinkle lightly with salt, and mix until the apples are coated with butter.
Fire up. Preheat your grill to medium hot.
Cook. Grill the apples briefly over direct heat, about 3 minutes per side, until they have golden grill marks. Don't let them blacken. Remove them and set them aside. You can let them sit around at room temp for an hour to room temp.
Now we will heat and brown the nuts slightly to increase their flavor. Put the nuts in a dry frying pan on medium heat. Stand there and watch them for a minute or two and then shake the pan so the nuts flip over more or less. When they start to darken and get fragrant, dump them into a bowl. Get them out of the pan so they don't burn from the residual heat in the pan.
Serve. When it is time to serve, put the warm apples on the cold salad. Sprinkle the nuts on the salad and serve with the dressing on the side.