It depends upon how robust your particular engine is. Early in my USMC flying career, we ingested a seagull shortly after rotating. Sounded horrible and looked bad on gauges, but 10-15 seconds later, after the engine had digested is "snack," all was good (except for the persistent stench of burned flesh and feathers in the bleed air/ECS...). After a precautionary landing, scope revealed no damage. Of course, it was an old school straight turbojet, with relatively short blades throughout, so much less vulnerable than current engines with big fans. Still, don't overreact -- there may be noise and exciting visuals at first, but give the engine time to finish "processing" the erstwhile bird -- then see if you have a problem.