How can I remove the service cover on my refrigerator when the process stub is in the way?
Okay so the process stub is the location of where vacuum is pulled and the refrigerant is pumped in. The stub is then pinched off tight enough to seal it and then the line is cut and brazed. The copper is very flexible. The braze is stronger than the copper. The weak point is the steel-copper joint. 

If you must bend it, do so at the copper portion. I personally would cut around it depending on what the condition of the joints looked like and the age of the unit. Copper work-hardens and the vibration of compressor and pressure changes from cycling is enough to harden the copper. 

With all that in mind bending it and kinking it is not a concern because it no longer has any use.

Edit



Guangdong

As you can see here the stub is intact on replacement compressors. What happens is the suction and discharge lines are connected and the stub is used to pull vacuum, leak check and charge the system. It's then pinched off very tightly, the line is cut and pinched again at the tip and welded shut using silver phosphorus (SilFos). At that point it's a totally useless vestigial appendage. As long as it doesn't crack open, you could bend it over out of the way. Again the weak point is the connection at the compressor where the copper is fused to the steel. Disturbing any part of the refrigeration system is ill advised but as a last resort it is acceptable. It could result in a leak at which point you buy a new refrigerator because repairs on a refrigerator compressor are stupid expensive and likely to fail prematurely.