You are confused about your filing status.  If you are filing as Head of Household that is it. If you live with your spouse you cannot be HOH.
Edited 8:45 a,m.

If youre married and live with your spouse, you cannot file Head of Household.

If you don't live with your spouse, and youre filing Head of Household, you don't enter any of your spouses information on the tax return.

I am still married. I don't live with my spouse, I am filing Head of Household, and filing separately. TurboTax requires my wife's info. If I input my wife's info completecheck fails. If I don't enter my wife's info complettecheck fails. I'm stuck in a loop and completecheck continually fails. Help????

Do I ignore completecheck and attempt to file my taxes?

If youre filing HOH it shouldn't be asking for any spouse info.

Am I Head of Household?

https://ttlc.intuit.com/questions/1894553-do-i-qualify-for-head-of-household

https://ttlc.intuit.com/questions/2900097-what-is-a-qualifying-person-for-head-of-household

If you qualify as Head of Household, when you enter your filing status (single or married filing separately) into Personal Info, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.