<p>Acershelp: “her work having won a Nobel prize for her” is inaccurate. A person wins a Nobel Prize, not the work. In addition, the tenses are unclear: “having won” makes the clause sound as if that happened before she used the x-rays.</p>
<p>“[W]inning a Noble Prize for her work” is merely a participial phrase, continuing to describe the subject. It is not a misplaced modifier.</p>