My wife 2009 Honda Civic has a delay starting when she turns the key. Her old key was coming a part. Had new keys made and programmed a the dealership. We are still having the same problem. It mainly does it in the morning time. Have to hold key in start position for about 5 to 10 second.

 

One possibility is the ignition switch(electrical portion) may be faulty. If it is the ignition switch, it is a plug and play part.