If there is no Self , what Self is there to be affected by the karma which non-Self now performs?

Self in Tipitaka is a general word, It means a wrong view just in no causes/wrong causes context.

Attā (self) can found in both wrong view ('eso me attā'ti), and right view (attāti attano nātho) context.
Context is the definition of the self-wrong view and self-right view.

So by the wrong view, self, manpower self, affects the other self, or is affected by the other self.

But by the right view, self, no manpower and various causes & effects, affect the other self, no manpower, and various causes & effects, or is affected by the other self, no manpower and various causes & effects.

Kamma is just one of many causes of effect.

Effect need more than one causes to arises.

So, perfect manpower self in only one person is not noble truth.