。
She has nothing to do with that.
Literal
She [topic-は] that matter [from-とは] connection [subject-が] not-exist.
その事 ('that matter') uses 事 ('thing, matter, abstract event'), distinct from 物 ('physical thing'). The pattern ~とは関係がない is a stock denial used to dissociate oneself from someone or something. Common in conversation when refusing involvement: '私とは関係ない' ('it has nothing to do with me') is an iconic Japanese way of bowing out of a situation.