This is an interesting question. For an NCAA athlete to risk their eligibility, they have to receive compensation, beyond tuition, room and board for playing their sport. So cash from boosters, a new car, endorsement deals are expressly prohibited. Athletes are also not allowed to be compensated for coaching their sport.
I’m certain ND cleared Ogunbowle’s participation on DWTS beforehand. Don’t know if she’s being compensated beyond travel and related expenses, but even if she is, the NCAA does not restrict athletes from being paid for part time work, work study programs, summer jobs and/or internships.
Ogunbowle is not getting paid for basketball related activity and while we can argue whether or not dancing is a sport, in this instance I would argue that it is just a glorified summer job.
You might argue that the only reason Ogunbowle got this opportunity was because she was a star athlete, and I would agree. But frankly that’s no different than the numerous summer internships that star athletes around the country secure every year from alumni at investment firms, Fortune 500 companies, etc.