I'm still not sure why the OP can't correct the original problem by deflecting the rudder in the opposite direction. I know there was a follow on question, but I may not be following the problem.
I can't speak for the OP but on my boat, no amount of rudder can overcome the bow being pulled into the dock and the stern being kicked out. The basic problem is the mid ship cleat is forward of the extreme beam of the boat so once the spring line has tension the bow gets pulled into the dock.
2007 Hunter 49