Repair

I was told I had a bad starter in my wife's car. She has a 2004 Honda Civic Ex
Coupe, 5 speed 1.7L everything in the car worked fine, all the lights worked,
stereo works but when she tried to start the car there was no sound not even a
click. So I bought a new starter and put it in and still have the same problem. I
checked the battery, it's fine. I checked the Alternator it's fine. No blown fuses.
We can push start the car with no problem. Can anyone tell me what could be
the problem? Thanks!