The correct option to fill in the blank is "her to achieve." The complete sentence would read: "Jannet has been vision-impaired since she was born, but that hasn't stopped her to achieve her dreams."
However, a more natural phrasing would be "but that hasn't stopped her from achieving her dreams." Unfortunately, that was not one of the options provided.
If you are strictly choosing from the options given, "her to achieve" is the best fit grammatically, but be mindful that it doesn’t sound as idiomatic as the other alternative mentioned.
