Unlike Fill-In fields, ASK fields never pop up automatically in general use.
(I think they might during a merge but haven't tried it.)

If you want it to pop up whenever a new document is created based on your
template you need an AutoNew macro containing the following code or calling
the following macro:

Sub TriggerAskFields()
'   Macro written by Charles Kyle Kenyon on 25 March 2004
'   Updates ASK fields and any Ref Fields in body of document
'
'   Update Ask Fields
   Dim oField As Field
   For Each oField In ActiveDocument.Fields
       If oField.Type = wdFieldAsk Then
           oField.Update
       End If
   Next oField
'   Update Ref Fields in body of Document
   For Each oField In ActiveDocument.Fields
       If oField.Type = wdFieldRef Then
           oField.Update
       End If
   Next oField
'   Update Ref Fields in headers/footers
   ActiveDocument.PrintPreview
   ActiveDocument.ClosePrintPreview
End Sub

Sub AutoNew()
   TriggerAskFields
End Sub

To trigger it whenever the document is opened add the following:

Sub AutoOpen
   TriggerAskFields
End Sub

I would advise against the AutoOpen macro. People will get tired of it very
quickly. The macros go in your template. The printpreview statements are
only needed if you have REF fields in your headers or footers. (You should
not have ASK fields in headers or footers.)

Hope this helps.