Could getting fired from my job during DEP ruin my chances?

I work at Target and I was scheduled to work 4 A.M today, I overslept and woke up feeling really weak and shitty like I'm coming down with something, but they won't pick up the phone. After 2 hours no call no show I might get fired.

If I did, I know I'd have to be honest on rate with security clearances (AZ requires one.) If I got fired and did all the right things, like telling my recruiter, telling the truth on anything I have to fill put, etc. Could it still affect my chances of getting a clearance, could it delay my shipping date if I'd need a waiver or something??