Senator Kay Hagan discussed the sexual assault problem in the military on the Senate floor last week. She made good use of a scarf: http://youtu.be/cVi7vR4iSyQ
This outfit would certainly work without the scarf, but it's so much better with it. The key here, as it is in many cases, is that the scarf is not tied to tightly or too carefully. It's draped asymmetrically around her neck and not tied in a firm knot. Tucking it in (a little bit) to her jacket helps hold it in place.