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I guess you didn't read the advice of the others who answered in your other thread, but no, you're 100% fine. The LO will ask you about it, and just tell him you applied for a card and was declined. It really is no big deal.
SBRooks, you could also "Recon" the decision. There are a ton of posts in the credit card section detailing how to do this. I recently append for an Amex and two Chase cards 1. Freedom unlmtd... Got it no problem 2. Chase Slate had to recon it and got it with a higher limit that the freedom. It's worth a shot as long as it is within 90 days of your HP.
Never give up up explore all options! Good luck