@johannornth,
There are completely different. Maybe the best thing is to use examples.
I went to get that cute girl's phone number, but she
rebuffed me. (That is, she ungraciously rejected my advance). The employment agencies tried to get me to take a new job, but I rebuffed their offers of help.
I was in the leadership of the Sierra Club, but based on their positions on immigration I
renounced my affiliation. (That is, I was associated with them, but then I declared I was no longer a part of them.)