According to this:
The National Institute of Neurological Disorders and Stroke
Quote:
Guillain-Barré syndrome can affect anybody. It can strike at any age and both sexes are equally prone to the disorder. The syndrome is rare, however, afflicting only about one person in 100,000. Usually Guillain-Barré occurs a few days or weeks after the patient has had symptoms of a respiratory or gastrointestinal viral infection. Occasionally surgery or vaccinations will trigger the syndrome.
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If literally hundreds of thousands of women have received the vaccine. That is at a minimum 200,000. If the vaccine caused a particular problem, you'd see a higher rate than 3 out of 200,000. (It's more likely the numbers are even closer to 1:100,000) Particularly since it is usually caused by other infections, not medical procedures.