Ah yes, the possessive pronoun (not to be confused with the personal pronoun in the genitive) is an adjective and as such in agreement with the possessed word. Even in the third person. In English, you have her house and his house. In Latin not, it’s domus sua for both (if referring to the clauses’ subject).
Sorry for lengthy answers. My girlfriend has already pointed out, that I can’t just say yes and no.