who paid the award? if it was your employer they should have included it on your w-2 and taken out the various taxes. the issue then becomes is it worth possibly risking your job if you go back to them and request that they reissue the w-2 showing the award. if they won't your choices are to pay the self-employment taxes or file form 4852 to report the payment as wages. filing 4852 will probably cause issues with your employer
if it didn't come from your employer and you performed no services for the payee, you can not use the form1099-misc. it must be entered as misc income on line 11 of schedule 1
