If you believed you were in danger, armed or not, a more sensible response would be to not answer the door and call 911. Here, the person simply went away.
Given that to obtain relief under that statute the allegedly criminal acts must follow the filing of a criminal complaint with the alleged crime having been committed against a "family or household member", with none of the predicate crimes being alleged to have been committed in the present discussion, there would be roughly a zero percent chance of that working out.Quoting adjusterjack
Ohio recognizes domestic violence protection orders, not available here because there's no past or present domestic relationship or act of violence. Ohio also recognizes stalking and sexually oriented offense protective orders, available if the petitioner convinced a court that the respondent has committed the offense of menacing by stalking (for our purposes, "knowingly caus[ing] another person to believe that the offender will cause physical harm to the other person or cause mental distress to the other person"), but the police don't believe that any such offense occurred and based on the facts shared here I would expect a court to agree.

