Apply for Bankbazaar Finbooster CC. It is the only LTF yes card officially and you'll get additional rupay card as well. But you won't get it before 3 Feb.
Yes bank processes application very slowly. It takes almost 15-20 days to get their additional Rupay CC.
Apply for league platinum credit card online to earn up to 8 reward points on every Rs.150 spent, fuel surcharge waiver & priority assistance. No Joining Fees or Non Annual Fees.