Ideal would be to check large numbers of undiagnosed people, and then see how many of those she "alerted" on developed the disease, but given the generally-low incidence of Parkinson's I suspect this approach would be impractical. Larger sample sizes than 12 would always be nice, of course.
The methodology should have been mentioned more in the article, and should be scrutinized, but that doesn't mean it's worthless if she truly diagnosed these people after a (single?) blind experiment.
You jest, but there is actually a suggestion that aluminum in sweat blocking deodorant causes neurological problems like Parkinson's and Alzheimer's.
(The evidence for this is not strong however.)
We consider n=12 generally underpowered only because many real-world effects are way weaker than the ability this woman demonstrated.