She is the nurse unless another female is mentioned immediately before this sentence. My concern is, who is the second they , to mend a bone? The sentence otherwise seems fine, though I might have used had let .
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Inchoateknowledge the first 'they' is Talleyrand's parentsI think you're right, or the hospital in which he was placed in.
The second 'they' may be a proform for the parents and the nurse together.