That Target lacks the Red "MISSION TARGET" in its Info HUD.
Whatever Kills your Mission specifically asks for - Ships of that Faction in that Conflict Zone don't seem to be it.
Double-check in your Transaction Tab for
a) right location
b) correct Faction
c) correct Target type (i.e. Pirates won't be found in a Conflict Zone; that's a similar - but essentially different Mission type, don't know if Missions specificially targeting i.e. Traders, Nomads or Authority types still exist)
(I can't check that, as these details aren't visible in your 3rd Screenshot - Video btw. is locked and states "Content Warning")
If all those check out okay, then you might suffer from a Bug.
I've read a few posts about the same issue, but they weren't many of them. Could be a spurious bug.