Originally Posted by
MSPeconomist
SC access isn't a DM "gift" (by which I assume that you mean Choice Benefit) unless you want the Executive Membership that includes guests.
As soon as the MQMs (or whatever) post and delta.dumb recognizes your DMness, your boarding pass will say DM-SC member. You show this and a photo ID to enter the lounge. There's no need to wait for several months.
You'll also get a SC membership card in the mail in a couple weeks. You need this or the electronic version from the app to use the club when not flying Delta (or possibly some partners).