My order # isTT#########. I filed on 4/13. I have not heard if my filing was accepted. How can I know?

If you efiled your return, what is showing with this tool?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp

Did you use Online TurboTax?  If so, when you log back into your Online account, at the Tax Home what is showing for "Return status?"