Yes, but only for those participating in non-professional sports and whose hormone levels are equivalent to those in the gender category in which they compete. I believe that transgender women should not be allowed to compete on gender-based teams in high-stakes competitions such as the Olympics. According to current research, even after undergoing hormone therapy, trans women retain an advantage in muscle mass and strength. These long-term studies clearly show that transgender women would have a competitive advantage when participating in the female category of sport.