"Accepted" only means the tax return has passed basic security and SSN/name checks and been downloaded into the IRS system. The IRS can't debit your bank account for taxes owed until your return is accepted and processed, because before it is accepted, it does not exist in the IRS computer system.
On the other hand, turbotax will collect any required fees before you are allowed to transmit the return.
Check your tax return status with the link above. During peak season the IRS generally accepts or rejects returns in 3 days or less, but they may be slow this time of year, and the "where's my refund" system (and maybe other systems) will be down for Columbus Day weekend.
If your return is pending, keep waiting.
If it was rejected, you have a technical error that needs correcting, or you may need to print and file by mail.
If it was accepted, then everything is fine.
If it was accepted or rejected, you should get an email message. If you didn't, the email address in your tax return might have been typed wrong (the email address in your return can be different than on your turbotax account), or the email on your turbotax account might be out of date, or the email was sent to a spam filter. You might want to check on those possibilities.
