I ordered on the morning of Apr 17, so it
should have shipped that same day (it didn't say it was out of stock), but it didn't ship until the next day. It delivered 7 days later on Apr 25, but the UPS Ground transit time should only only been 3 days. I emailed Tesla inquiring about the status of the order while waiting, but as usual, I never received a reply. The most reliable way I've found to get a response from Tesla is to call and wait on hold for 30-90 minutes.
Emails about orders and to service centers seem to go ignored. I had to email one service center three times before I finally received a reply. I don't know if Tesla is too busy to reply to emails or if they're trained to ignore customers as much as possible.
It seems like it took an inordinate amount of time to get my Mobile Connector as well, which I had the foresight to order a couple of months before the vehicle arrived so that I wouldn't be stuck without a charging method.