As long as your return was filed on time, and you provided your payment information, then you are considered to have filed and paid on time. It makes sense that there could be some delays in processing since you submitted your return very near the deadline. The best way to know when the tax bill is paid is to keep an eye on your checking account.
Take a look at the following TurboTax help article which addresses direct debit payments:
When will my tax payment go through?
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