I agree, the difference in mens and womens performances cannot be attributed to testosterone alone. And that difference cannot be simplified to exactly 10 percent. Of course, there are many women who are faster than men - even in high school and college. From what I understand, simply raising testosterone levels is not likely to automatically make women faster than their male counterparts.
Back to the OP... Could it be that the athlete has a body image issue? She doesn't want to sprint, fearing she'll get "big," though we know this is not always the case. Instead, she's running more volume to in hopes of burning calories and chasing that gaunt distance runner girl look. If that's the case, it may be a tricky situation.
But addressing the issue of "distance running" for sprinters: I think Edwin Moses was an interesting case. If I recall correctly he would complete 6 mile "tempo" runs. Of course, your athlete is not Edwin Moses, but I can certainly see benefits of higher volume, lower intensity training for the 400m runner. The key is going to be applying it in a periodized fashion. As the end of the season approaches, I would not be placing any emphasis on slow distance runs... but what do I know?