There is nothing to suggest that she can consistently win games given a level playing field. Her teams don't really have an offense. Players wouldn't respect her. Top recruits would absolutely never come here. People that think the two sports are equal should hope she never tries coaching men.
If you think her current record doesn't suggest she could consistently win games, I don't know what to tell you. She's been dominate to the point that its foolish to act as if she couldn't coach an average or better than average team in other circumstances.
Could she dominate it? Absoluately not. It is a more competitive game with a larger number of strong athletes.
Does it guarantee she could win in the men's game? No. Most likely she'd produce mediocre results. Which means she has almost the same chance of success as the next coach we have a legitimate shot at getting.