I realized over the weekend that it had been a month (I ordered March 7) since I ordered my renewal and hadn't yet received anything. I logged it to Disney Shopping to check my order status, and fortunately they had my order; it just hadn't shipped yet. So I emailed them with my order number and asked for a status update. The next day, I got this reply:
It was great to get a quick, confirming response. So we'll see…We are delighted to have received your recent email and we appreciate
your interest in DisneyStore.com.
Your D23 Gold Renewal Membership Card will arrive within 10-12 business
days after the end of the month. The rest of their Membership Packet
will arrive within 3-4 weeks after the end of the month.
Please do not hesitate to contact us if you have further questions. We
look forward to future opportunities to be of service to you.
Have a Magical Day!!!!