If my return has an estimate date and has been accepted am I good ?

yes. note that your refund can come sooner or later than the estimated date. 

Watch the IRS "Where's My Refund" tool to see in what stage your return is processing and when your refund is released and sent:

https://www.irs.gov/Refunds

Tips:

• Be sure you have waited at least 24 hours after acceptance before using the IRS WMR tool.
• Be sure you enter the correct SSN and filing status.
• Be sure you are using only the Federal refund amount.   Do not include any state refund or any total refund or net refund (Fed and State) that TurboTax may have provided on a screen.   Only the Federal part.
• Also, if you had any TurboTax fees, be sure you are using the Federal amount before any TurboTax fees are taken out (if you chose that option.)
• Look at your actual Federal return to confirm the Federal refund amount, i.e., your Form 1040, Line 35a.

FAQ:  How do I track my state refund?

https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571