Yes, TurboTax would wait for IRS acceptance before releasing any payment to them. No, do not make a payment directly to the IRS website if you provided payment information with your tax return. Wait for the acceptance text or email.
If you filed your tax return the payment will not be considered late. Do not make a payment online until you are sure your payment is not made. The IRS is and will be very busy for the next few days, which means they may actually debit your account a day or so late. There is no need for concern.