As per the law, TDS is to be deducted on the last month of the financial year OR the time of payment, whichever is earlier. It seems you have made the payment of rent only on 10th October. So you can make the payment for TDS by 7 November.
Ideally, you should deduct TDS as per the provision of law ie 5% till Sep and 2% thereafter. Since, the payment was not made earlier, it is not a delayed payment from your side. In the From 26QC for date of credit or payment, kindly put 10 Oct.
For the rates, if your landlord does not have issue for deduction of 5% for entire year, then you may show that rate. The government does not question when higher TDS is paid.
