The Christian theology of religions at present faces a crisis. What precisely is the task of the theology of religions? Does it merely consist in interpreting the non-Christian religions as steps, phases or contributions in the light of Christianity? Has one from the theological side conceded the maximum to the non-Christian religions by acknowledging them as anonymous Christianity (Karl Rahner)? This study is an exploration on how one shall liberate the religion of the other from anonymity: how one shall leave the other with his/her own name. The model of thought employed in this study is gained through an analysis of the intercultural process of understanding, explained with instances from Africa and South America.