Lots and lots of data on bird ingestions into turbofan engines and their results.
The pilot is advised to take note of his instruments and ears. The instruments display the engine health at the flight conditions, while your ears may pickup a surge (bang/boom/pop etc.) as well as a noticeable change in Buzz-saw. The later is indicative of bent blades. It is extremely rare for an engine which is continued without noticeable shifts in EGT to pack it up completely (no what ifs here, just historical data).
There have been some surprises later when engines which had ingested a bird and surged, were continued in service (they surged again always at inopportuned times)
If you get only a change in power without a permanent change in EGT or Buzz-saw, then the data shows that the engines have run-on without failing.
If you get an EGT shift or a permanent change in buzz-saw then there is no telling how much longer it will last unless of course you manage to baby it and get rid of the EGT effects or buzz-saw..