Turbotax will not allow me to delete miscellaneous income.

If you are in TurboTax Online, and previously entered one or more items in Miscellaneous Income under Less Common Income, and click Revisit next to Miscellaneous Income, then another screen will pop up with the full list of Miscellaneous Income items. See partial screenshot:

The individual items in that list will also either have a Start or Revisit button next to them. When you find the item you want to edit, click Revisit, and the interview screen for that particular item will pop up and you can make any needed changes.

In you need to retrace your steps in the Income section of the program, you can click on Wages & Income in the left menu bar.