。
She has connections to the Oda clan, you see.
Literal
She [topic-は] Oda-house [with-と] connection [subject-が] exists [explanatory-んです].
織田家 (おだけ) refers to the Oda clan — most famously associated with Oda Nobunaga, one of Japan's three great unifiers of the warring states period. The ~んです ending provides explanatory context, as if answering 'why is she special?' or revealing background information. 関係がある ('to have a connection') is the standard phrase for being related or connected to something.