Originally Posted by stainsor
because I have found that when I lightly bump the connector, the motor immediately turns on. So I think this means there is a poor electrical connection somewhere at the motor supply voltage input. Does that sound right?
You should inspect the contacts in that connector and the plastic around each one. Some poor contact on one carrying heavy current heats it up and melts the plastic around it and also deteriorates the metal contact surface. The melted plastic means the contacts are being held in place like they should be.
Also, try tapping only on the bottom of the motor even fairly gently with the tip of your shoe when the key is ON and the blower won't work. A little vibration there can also vibrate the connector that may be your problem. So some differential diagnosis is needed.
My 03'* blower was easily replaced with 3 screws and a rubber tube for cooling the motor to handle. I used a towel to hold new on up as I tried to get a screw started. Otherwise, just the lying upside down is the only negative.--and $139 for an Autozone replacement.