You need to print off a copy of the contract note and send it to them with the shareholders club application form.
Have a look at this thread here. Both my DH and DD have had no problem using the online copy either as original proof or the online statement for membership renewal but if they reject them do as Mark advises (post#3 on same thread) and get it stamped by your local Halifax.
A bunch of us have just got our cards today - it was 7 weeks from them notifying me that my renewal was sucessful to receiving the card - they do them in batches so it can take a while from applying to get them.
When I first applied I just printed out teh contract note from the Halifax website.