の容態を

…'s condition

→ の
phrase Rare #34,265
…'s condition の connects the condition to the person it belongs to, and を marks it as the object of the sentence.
JA: 医者に彼の容態を説明した。
EN: I explained his condition to the doctor.

彼女は彼の父親の容態を尋ねた。

She asked about his father's condition.

メアリーは彼の父親の容態を尋ねた。

Mary asked about his father's condition.

太郎は彼女の父親の容態を尋ねた。

Taro asked about her father's condition.

ケンは彼のお父さんの容態を尋ねた。

Ken asked about his father's condition.