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If you were denied for too many new accounts and inquiries I would wait at least 6 months. I tried for that NFL card like 3 times and was always denied (can't remember the reasons). I finally gave up on that card, and 6 months after my last denial for that card I app'd for their Ring card and got approved. And the funny thing is I had way more new accounts and inquiries when I got approved for the Ring--so who knows.
Barclay's can be picky about inquiries and new accounts. I would wait 6 months from the time of denial before trying again. Don't add any inquiries or new accounts within those 6 months.