How is this different from the legal conflict between the Biden administration and the various states which banned biological males from girls' sport teams? Either way, you have one level of government saying "you must" while another level says "you can't".Legal conflict. The issue to be litigated is whether federal law can trump (small pun) state constitutions on the issue. It would be the job of the department of education to oversee such litigation but rumor has it that department is going away (itself a questionable eo). Theres an entire sub field of con law (by far the longest and most tedious subsection in the law school class) on federal supremacy, mostly related to the interstate commerce clause. Given even the chief in the Obamacare case took pains to limit the scope of federal power, it might wind up boomeranging on title ix with a result folks concerned with women’s sports don’t like.
No real difficulty in using the interstate commerce clause. The court already went full butterfly wing with their marijuana ruling. If growing MJ in your closet for personal use counts as interstate commerce, then a national sports league like NCAA absolutely qualifies.