First Target
The Hell was not a space where every area had its sovereign. There was a large portion of territory that was not 'conquered'.
The reason for this was simple. Certain domains with Reincarnation Wheels were much more difficult to master than others. Even some Devils would avoid various areas of Hell, where supposedly only peak True Celestials could risk themselves.
Immediately in Minos' path was one of these territories, which he didn't intend to challenge. First, because he didn't want to risk himself in such a way during his first journey through Hell. Second, because Qhava herself didn't want him to do it. It was comfortable for her to have parts of her territory bordering such areas. It kept enemies further away from their location and avoided some unnecessary confrontations.