To achieve people's well-being with AI systems, we should enable each user to be guided to a healthier lifestyle in a way that is appropriate for her or him. However, there is a dilemma between general well-being as defined in academic and medical discussions and the autonomy users should have when deciding how to promote their well-being. In this position paper, we discuss the difficulty for AI application developers to fully consider in the design phase what might happen to the user, taking an example of a running application (app). We sort out the required factors to enable AI apps that support well-being to address the dilemma between unilaterally defined well-being and human autonomy based on the four dimensions required for responsible innovation: inclusion, anticipation, reflexivity, and responsiveness.