Intersectionality, frequently used by political scientists, sociologists and anthropologists as a highly abstract concept, originated as the socio-legal critique, by Kimberlé Crenshaw, of US courts' ignorance of discrimination against Black Women specifically. That ignorance emerged in cases such as DeGraffenreid, in which the claimants challenged a collective redundancy scheme resulting in dismissing all Black Women on grounds of indirect discrimination. The court refused to recognise Black Women as a category of relevance and did not find any discrimination because the scheme did not impact disproportionally on White Women or Black Men. As regards EU law, some socio-legal scholars of today doubt that intersectionality has any value as a practically relevant concept. This article discusses the question whether and how intersectionality can and should be used in applying EU non-discrimination law through a critical analysis of three ECJ rulings delivered between 24 November 2016 and 14 March 2017. The Parris case concerning the pension claims of two white homosexual Men can be qualified as the Court's "DeGraffenreid moment" because it refused to recognise discrimination in a case where the intersection of being over 63 and homosexual was the basis of excluding the Men from a survivor's pension. The Court refused to recognise combined discrimination and found that neither age nor sexual orientation in isolation were the reason of that exclusion. The more recent Achbita and Bougnaoui cases seem to