AFIK, TG participation in women's sports has not happened in top level soccer, softball, basketball, tennis, or volleyball.
Skimo is a fringe event in a niche sport. I doubt the federation has any money to fight lawsuits regarding TG participation. IAAF had its women's 800 moment in 2016 but that is largely in the past with new rules for 400- mile events and the NCAA swimming controversy that happened last year is unlikely to happen again as the NCAA took up FINAs new rules.
Allowing a male who hasn't gone through extensive hormone regulation to compete against females is blatantly unfair. That said, I think popular sentiment will prevent a male from facing off against popular female athletes like Mikhala Shiffrin, Alex Morgan, Coco Gauff, Breanna Srewart et al. Even if courts forced the federations to allow males to compete against females, sponsors and the public would not support any male who tried to compete in a popular womans sport and the situation would resolve itself within months.