My current employer insists on an engineering inspection for every time a birdstrike occurs - no matter the size of bird, where it hit the aircraft or whether the birds remains were found intact or not.
This has led to an aircraft being tech away from base following an altercation with a swift which glanced off the leading edge whilst the plane was landing. The incident was reported by another aircraft at the hold and the poor birdie recovered by an airport ops vehicle. The crew inspected the wing and could see a small smudge on very close inspection.
At great cost and delay to all concerned an engineer had to be flown out to inspect the wing and sign off that there was no damage.
May I offer a different perspective. (I don't know the aircraft type you operated)
In the days gone past and engineer would have been stationed or traveled with the aircraft to this port where your bird strike occured.
But then the dollar detectives, accountants and risk management people decided it is cheaper due to the low frequency of tech events to do without the technical support at the station.
The fact that your aircraft had gone tech inconveiniancing all and sundry has been worked out to a dollar figure and not about the lack of service provided or being able to handle the "what if " event away from base.
Such is the way of modern aviation.