How long will it take to get back if my return got rejected but I fixed it and e-filed the same day

Your rejected and "re-filed" return went back to pending with the millions of other returns that are waiting for the IRS to open on January 29 and begin to accept/reject returns.  So...sometime on or after 1-29 you will get an email telling you if the return was accepted or rejected.

If it is accepted, you should wait a day or so and then start tracking it on the IRS refund site.

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

Once your federal return has been accepted by the IRS, only the IRS has any control.  TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.

You need your filing status, your Social Security number and the exact amount  (line 35a of your 2023 Form 1040) of your federal refund to track your Federal refund:   

https://www.irs.gov/refunds

To track your state refund:    

https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others

If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.

https://ttlc.intuit.com/questions/2580357-who-provides-the-refund-processing-service

https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved

https://ttlc.intuit.com/questions/2724106-my-return-is-accepted-but-still-not-approved-is-there-a-problem-should-i-be-worried

If you are getting earned income credit on line 27 or additional child tax credit on line 28 You are subject to the delay required by the PATH act.  Do not expect your refund earlier than late February.