It should work if:
1) Your name is valid.
2) You are connecting to the correct workbook. The named range must be in the workbook that the code lies in if you're going to connect to ThisWorkbook.
The following, like a fox in the hen house, has chicken for supper every time:
Sub testeroo()
Dim cn As Object, rs As Object
Dim clcMde As Long
Let clcMde = Application.Calculation
With Application
.ScreenUpdating = False
.Calculation = xlCalculationManual
End With
Set cn = CreateObject("ADODB.Connection")
cn.Open "Provider=Microsoft.Jet.OLEDB.4.0; Data Source='" & _
ThisWorkbook.FullName & "';Extended Properties=Excel 8.0;"
Set rs = CreateObject("ADODB.Recordset")
With rs
Set .ActiveConnection = cn
.Source = "Select TimeStamp, Value, Last6MinAvg From " & _
"Query_from_MS_Access_Database Where Last6MinAvg >= 10"
.Open , , 3, 3
Sheets(2).Cells.ClearContents
Sheets(2).[a1].CopyFromRecordset rs
.Close
End With
cn.Close
Set rs = Nothing: Set cn = Nothing
With Application
.ScreenUpdating = True
.Calculation = clcMde
End With
End Sub
I have attached an example. So, I'm not quite sure what you have done at this point.