Ask questions and get answers from experienced industry professionals
I highly recommend getting the opinion of a local arborist. If you have trouble finding one check with your local tree nursery or Botanical Garden for a referral. We have used one before and it was the best $100 we could have spend considering the situation.
Talk with your local tree nursery or a state university agricultural extension office. (Iowa State University has an excellent one.) I love willows, but if the damage is too severe, you may need to begin again.