Tax’s sent the 16th says accept not showing on IRS SITE ACCT SHOULD I WORRY ??

If your account says the return was accepted, that acceptance came from the IRS.  It can take awhile for any information to show up on the IRS refund site, even after it has been accepted.

When you e-file your federal return you will receive two emails from TurboTax.  The first one will say that your return was submitted.  The second email will tell you if your federal return was accepted or rejected.  If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.

You filed near the deadline----there are lots of people filing at that time.   You need to be patient while the return works through the system.

And..

https://turbotax.intuit.com/tax-tools/efile-status-lookup/ 

https://ttlc.intuit.com/questions/2584108-why-is-there-no-record-of-my-return-at-where-s-my-refund-wmr?jump_to=answer_4242575

Sometimes people get confused by the “summary” given by TurboTax and use the wrong amount for the federal refund.  Make sure you are only using the federal refund amount, and not an amount that combined your federal and state refunds.  

Your federal refund amount is on line 35a of your Form 1040