When the Tax Home page at TurboTax shows your efiled return as "accepted", that refers only to the efile status. It means the efile was successfully sent to the IRS and that the IRS computers determined that it met all the technical requirements such that they could begin processing it. i.e., the IRS accepted it for processing.
Keep watching the IRS "Where's My Refund" tool.
https://www.irs.gov/refunds
If you chose direct deposit, the IRS says most refunds that require no manual processing are sent within 21 days.
