Think about it…

Depends on the jet and the loadout, an F-111 could easily flatten Rome with GBUs and can even carry nuclear weapons,the F-22 can carry small diameter bombs in its internal weapon bay and the 4 hardpoints on the wings, or we could send an MQ-1 with hellfire missiles and blow up very specific targets to inflict psychological damage on the people causing a civil collapse from within

Roman Empire, as the fighter would eventually be out of fuel

What we 5alking here f 16 ,f 15 ,f 22 ,f 18 ,b 1, f 35,

A-10 maybe?

Probably the Fighter jet the romans would have no chance to fight back. And if somehow a miracle happens for the romans and it crashes, they wont be doing much about it, but find the pilot, as the technology is to advance in their disposal, so they can not perfect it.