You are right the quest running a fever never triggers. Whether a future patch will put it back into the game is anybody's guess.
BTW the broken family quest can still be finished as it is not related to the running a fever quest.
EA has officially stated there will be no further patches for ME:A, which essentially means until we get a save editor, it will not be possible to fully finish the game - and it will never be possible to complete the game without cheating. As someone who actually thoroughly enjoyed what I still hope is a first outing in Andromeda, I am appalled at the horrendous post-launch support this game has received. Please, please, please, do one final patch fixing this game to the point where it can actually be fully completed. https://www.masseffect.com/news/mass-effect-andromeda-update-from-the-studio
