If a wire is poking your gums or cheek there are several things you can try until you can get to the office for an appointment. First try a ball of wax on the wire that is causing the irritation. You may also try using a nail clipper or cuticle cutter to cut the extra piece of wire that is sticking out.
Sometimes, a poking wire can be safely turned down so that it no longer causes discomfort. To do this you may use a pencil eraser, or some other smooth object, and tuck the offending wire back out of the way.