I wouldn't worry about it mate. I think it's pretty unlikely, considering that The Orville is just a lame imitation of what Star Trek looked like several decades ago. Trek has already re-evaluated its tone and premise, and it did it long before The Orville was even conceived. The result is Discovery.
While we're on the subject of The Orville, I think it's laughably bad tv. It's a case study in why you don't let fans make their own shows. It parodies things that are already 30 years into the past while its own convictions fall flat. It's pretty much what you'd expect from Seth MacFarlane, but I was still hoping he'd break his mould here. I worry about that steaming pile of poo overshadowing Star Trek about as much as I worry about bad fanfiction doing the same.