May depend on the airport...
Birdstrike before 80 kts: there's a good chance you saw the approximate location of the impact. if there are no indications of damage, and you are at a remote airport with no mx, perhaps keep going. You have some time to monitor before making a firm decision. No abnormal indications, I'd continue the TO. If there are some abnormal indications, deal with them then.
If you are departing a mx base, perhaps stop and get it dealt with there, especially if you are flying to a remote apt without mx.
Your airline should clarify what they would want you to do in a case like that. The airline i flew with wanted us to deal with the issue there, at a mx base, rather than take it down route to anywhere else. Ask them directly to clarify.