It depends on HDFC, usually application gets approved within 2-3 business days after id generation but If they needed physical verification (biometric or/and address verification) then add 2 more days. All should get completed within a week, and they will dispatch the card within 2 days after approval message.
Also, HDFC application tracking shows weired status at different time. Sometime it can show 'REJECT' as well but that doesn't mean the application has been rejected unless you get a confirmation sms.