Problem with Password protected Word files

[CyberJar]

When my code encounters a password protected Word file in the "For Each" loop, it prompts the user for the password, then suddenly the hidden Word app becomes visible ( even though I stated "oWApp.ScreenUpdating = False" ) and the user is seeing the opening & closing of the rest of each document inside the For Each loop.

When I encounter a password protected file, I need to log the Word filepath and go on to the Next file, without exiting the loop. I'm having problems with this line: Set oWDoc = oWApp.Documents(abc)

When I place the problem line before the Open statement, I get "bad file name" .
Variable abc contains a full server and path, like: \\SERVER\User\My Documents\FileName.doc

When I place the problem line and the HasPassword test, after the Open statement, I get the original problem - a password prompt and the Word app becomes visible while still processing files.

       Set oWApp = GetObject(, "Word.Application")
        If ERR_APP_NOT_RUNNING Then
            Set oWApp = CreateObject("Word.Application")
        End If
            oWApp.ScreenUpdating = False

            For Each abc In colStoreWFiles

            Set oWDoc = oWApp.Documents(abc)  'PROBLEM LINE
            If oWDoc.HasPassword = True Then
                Print #LOG, "message"
            Else
                Set oWDoc = oWApp.Documents.Open(abc, , False)
            ....etc....
            End If

Any information is appreciated.