If an asteroid was heading in this direction, there should be considerable warning ahead of time.
If a rocket could be sent to knock it off course enough while its far enough out, wouldn't that deflect it enough? Embed the rocket nose, then activate the jets? Just one degree off on your compass in a 50-mile trek would put you way off your target.
Not that I know what I'm talking about. I guess reading all Robert Heinlein's books isn't enough...

Sue