To run it from the hyperlink. Put the cursor in the hyperlink and run the following modified version. This will copy the section to the clipboard and return to the start position
Code:
Sub SelectAndCopySection()
Dim oRng As Range
Dim oStart As Range
Dim lngSect As Long
Set oStart = Selection.Range
If oStart.Hyperlinks.Count = 1 Then
oStart.Hyperlinks(1).Follow
lngSect = Selection.Information(wdActiveEndSectionNumber) + 1
Set oRng = ActiveDocument.Sections(lngSect).Range
oRng.End = oRng.End - 1
oRng.Copy
oStart.Select
End If
End Sub