Clinton Anderson has a great video on working and training a head shy horse. Try to not treat her any different from other horses. Try just to stay more in area that she will allow and work your way up to her area she does not want to be touched at. Most horses that are like this have been beaten some point of time. A lot of older trainers why back when thought if the horse would not do what you wanted beat him on the face till he does. I have seen this, not cool. Anyway check out that video. Its great.
Sometimes he has it here Downunder Horsemanship TV
If I was brought this horse. I would first take her into the round pen and not even bother to even try to touch her. I would get her mind back on thinking and not being so scared. Next I would work on picking up all her legs, tail, rub her belly. Work my way up her body to her neck, rub and rub. Then give her a treat. Leave her be and walk away. I would come back and ask her to move around the round pen. After doing this for sometime. She will get it, that running is not fun. Standing here and getting rubbed is. If she takes a step or throws her head any thing like that. Send her around the pen a few more times.