Only super Targets are set up to accept WIC because they are classified as full-grocery. Other Targets are not & are prohibited from accepting WIC because it would violate a non-competition agreement with 'regular' grocery stores.
Your store should accept any other of your state's foodstamp programs, however.
My target accept WIC. we have grocery, but it isnt that big and i didnt think we were a super T. does having grocery automatically make it a super T? Also i look on store search and when it tells me where the nearest Super target is it is not showing my target but one further away. Or maybe its just california always accepts WIC