Do you have a qualified dependent in order to file as Head of Household? If you filed married filing separately or Single and entered a qualified dependent, the software would have offered HOH as a filing status when you prepared your return.
Am I Head of Household?
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-filing-status/qualify-head-household-2021/L0NxUtVc2_US_en_US?uid=m5x19jkx
If you qualify as Head of Household, when you enter your marital status (single or married filing separately) into MyInfo, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.