Earlier quoted context omitted.
A bike would possibly be the ideal solution for someone in her shoes. Of course, there's that lovely enhanced risk of dying you get for daring to brave the streets on two wheels in the US. But if she gets back significant time from changing it up, it might be worth it.
The average high in Durham is around 30C (86F) in the middle of summer ( https://en.wikipedia.org/wiki/Durham,_North_Carolina#Climate ). Without a shower, she would be a stinking mess at work.
Even if only 50% of days are suitable for cycling, if it saves her an hour a day then, at her hourly rate, a decent bike will return it's investment in less than half a year. And that's assuming her bus rides are free. She/a person similarly situated would have to judge for themselves whether it is a useful tool.