Trying to exempt my military retirement income from my La schedule E state taxes. I place 04e in exemptions and turbo tax keeps removing it.

The next screen should be as below.  TurboTax uses the information from your 1099-R to automatically exclude the military pension.

Federal Retirement Benefits Exclusion (R.S. 47:44.2)—Federal retirement benefits received by federal retirees, both military and nonmilitary, may be excluded from Louisiana taxable income. Railroad Retirement System Benefits received by federal retirees may be excluded from Louisiana taxable income.