Could the blend door actuator cause the a/c compressor to turn on and off?

I recently found out that my dads blend door actuator motor was broken in his 2001 for taurus because it only blew hot air at all times. So I decided to take the motor out and manually switch it so it could only blow A/C. After I did that I also noticed his A/C only works on High. So I went to auto-zone and got him a new resistor block so all speeds would work. Afterwards I also noticed I kept hearing a clicking noise from under the hood which turned out to be the a/c compressor turning on and off again reapeatedly. I was wondering if since I took the blend door actuator out and the connector that goes in the blend door actuator motor is just sitting there not connected to anything is that causing the a/c compressor to turn on and off. and if not what could be the problem? I already checked the relay under the hood.