If you chose to have them withdraw from your bank account, generally, the funds are withdrawn on the payment date you specified, if your return has been accepted. If you still don't see the debit 7-10 days (some states do take a bit longer) after your return has been accepted and your specified date, you will need to call your State. New Mexico's number is (505) 827-0700. You can also send them a message on the state's website https://bit.ly/2HE6rq2.
If you didn't specify a date, then April 15th is the default payment date.
If your unsure of the date chosen, your withdrawal date and banking information should be on your TurboTax Electronic Filing Instructions Page. If you did not print the instruction sheet, please follow these steps to print or view it. The banking and withdrawal information can also be printed/viewed on your Federal Information Worksheet Part V, and the State Information Worksheet, Part VI.
Follow these steps to view/print your instruction page: