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I was worried about this for about a day or two, having successfully apped for 2 other cards a couple days prior to and after the Sallie Mae MC. Then I got over it and got another card a week later. I'm going to run a lot of spend through the Sallie Mae, and my overall util will never be above 5% across my accounts. If they want to AA me then it's their loss and I'll just move the spending over to somebody else.
You should be fine.
After my barclay Approval I had 3 new account show up. One of which was a WM Discover upgrade 2 months after.
The other were approvals that had yet to report at the timer of approval.
I actually got a CLI from Barclay, and I know they seen those new accounts. They were all reporting at the time of the CLI.
But, as mentioned, use it. If you are using it regularly, the chance of AA is less likely.
If you SD the card though ... then its a bit iffy.