Hi,
I guess the problem is that conquest is not authorized to query AW. Is the AE title of conquest correctly configured in AW (the name is case sensitive). If not this could be a reason for AW to reject incoming requests, while outgoing requests from AW are not a problem as conquest does not validate the calling and called AE. Another reason could be that PatientRootQuery is not supported - did you try other options (studyroot) as well?
Marcel