Means to not care about or have no feelings for anyone ,or anything that person is talking about.
Jill was mad at Jack today because Jack was not listening to Jill like always. Jack was like "my name ain't Karen ".
I' don't give a shit about your bullshit . To not give a shit about what's running out of someone's piehole. As I have no interest in what you are talking about.
Jack was like shut your piehole my name ain't Karen. Karen said I know you never talk to me about what I like to do.
Another way to say I don't care.
Jill said Jack should work on his people skills . Jack said " my name ain't Karen. "