No, trans women do not have an advantage in sports.
For about a week before the 2018 Boston Marathon, news outlets around the country were busy freaking out about the idea of transgender athletes competing.
Specifically, the worry seemed to be that trans women (people who transitioned from male to female) would have an unfair advantage over cisgender (non-trans) women. Right-wing commentator and anti-trans ideologue Ben Shapiro painted the decision as a type of slippery slope that will eventually lead to the abolition of gender categories as a whole, saying, "Biological women will never win a marathon — ever — in history because men are faster than women on average."
Do Shapiro and others skeptical about the idea of trans women competing with other women in sporting events have a point? Not really.