Disability activists influenced by queer theory and advocates of "human enhancement" have each disputed the idea that what is "normal" is normatively significant, which currently plays a key role in the regulation of pre-implantation genetic diagnosis (PGD). Previously, I have argued that the only way to avoid the implication that parents have strong reasons to select children of one sex (most plausibly, female) over the other is to affirm the moral significance of sexually dimorphic human biological norms. After outlining the logic that generates this conclusion, I investigate the extent to which it might also facilitate an alternative, progressive, opening up of the notion of the normal and of the criteria against which we should evaluate the relative merits of different forms of embodiment. This paper therefore investigates the implications of ideas derived from queer theory for the future of PGD and of PGD for the future of queerness.