If I have not received an e-mail stating my return is accepted but my turbo tax page says it was does that mean IRS has accepted any return?

[AprilLO]

Accepted just means your return was received and the basics (such as the correct social security number) seem to be in order.

https://ttlc.intuit.com/questions/2382208

I would recommend you keep checking on the IRS website, there might be a lag in the system updates. You can check the status of your federal return here: https://www.irs.gov/refunds