。
She inquired after his father's condition.
Literal
She [topic-は] his [genitive-の] father [genitive-の] condition [object-を] inquired.
尋ねる ('to ask, inquire') is slightly more formal than 聞く. 容態 (ようだい) is a specialized term for 'condition, state' — almost exclusively used about a sick or injured person's medical condition. So 容態を尋ねる is the polite, almost ritualized way of asking 'how is so-and-so doing (after the illness/injury)?' Routine in Japanese conversation around illness, accidents, or hospitalization. The chained possessives 彼の父親の容態 ('his father's condition') stack の particles — typical when nesting possessors.