This article has some interesting information:
Shin Splints and Shin Splints Treatment
This section of the article highlights the two main causes of shin splints:Trex falls into the second category and if she tries to run her shin splints off she could very likely end up in worse shape, orthopedically, than she is now. Flat feet don't get better with time or age, they need proper support. Both of my stepkids have really bad flat feet (my stepson's ankles, when he is barefoot, nearly touch the ground). They've been seeing a podiatrist and getting prescription custom orthotics for years.
As far as I'm concerned, women are already at a biomechanical (and gravitational) disadvantage when it comes to running. I think there's plenty of other low/no impact options that have the same if not better results with less potential for joint stress, boob bounce and stretch, or bone depletion.
As an aside, Omega, I think you should count yourself lucky you dodged a bullet. Continuing training that aggrivates shin splints can potentially cause muscle or tendon damage. I believe in encouraging people to pay attention to their bodies, to learn to know the difference between normal/acceptable soreness and muscle aches so that they recognize the type of pain that may signal something being really wrong.