i guess they want to make Miyuki out to be incompetent by not being able to meet the head of the family in time. that could lead to some backlash to those that want Miyuki be appointed the next head, at least for the time being, likely giving the other factions time to plan a move against Tatsuya as well. Once Miyuki is appointed the next Leader, likely Tatsuya will become unapproachable just as well, so this marks one of the last (if not actually the last) situations for other factions to stop the "weapon" attached to the next head Miyuki to become officially approved.
or maybe the current head just wants to remove some splinters from the family and as such created such a scenario. we'll see