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I would wait a while.
You can try at over a year discharge but its probably not long enough. To be honest your chances are much better 2 years post discharge.
I got approved for the Promise and Power Cash Rewards cards over 2 1/2 years discharge.
Penfed is very conservative. Not as much as they used to be but much more than NFCU is.
I was approved for a used-car loan in late February with Penfed, about 2 years 3 months after my Chapter 7 bankruptcy was discharged. My EQ (FICO NG2) score as reported on their site is 690 as of February 28; as they updated the site at the beginning of this month, I expect the next quarterly update in early July. I would quite like to get a card from them (at least the Promise Visa, preferably the Power Cash Rewards Visa), and judging from the info in this thread my BK shouldn't be a showstopper in and of itself - also I've never burned Penfed in BK or otherwise so that should increase confidence - but I think it wisest to garden and develop payment history for at least a few months seeing that I got two other credit cards in the period 2/10 - 3/22 in addition to my car loan.
If you have a lot of Inquiries the last thing you should do is app, regardless of scores.