420A 420a timing belt cover rub while cold

[aodioxp]

I recently noticed some loud noise from the engine bay. It happens when car is cold, and stops after engine is fully warmed up. I can push the timing belt cover towards the engine and the noise stops. What could have caused it?
really do not want to remove the cover as you all know that could a PITA. Is it a serious problem and any fix?

Thanks,

 

[aodioxp]

I tried putting some rubber between the motor mount and timing belt cover. Did not work well, still rubbing hard...
any suggestions guys,

Thanks,