I have a few questions regard to my income tax not showing on the IRS website, and Turbo tax is providing a deposit date.

[JoannaB2]

You can check the IRS website under Refunds tab to check the status of your return or call the bank. It takes at least 3 business days to deposit the refund to the account.

The IRS started processing electronically filed income tax returns on a first in, first out basis in February 12, 2021  The refunds are processed within 21 business days after IRS acceptance of the electronically filed return.

[Mike9241]

TurboTax's date is just an estimate based on the IRS saying most refunds are done in 21 days or less.