。
She was prompted into accompanying me.
Literal
She [topic-は] my [accompany-お供 do [so-as-to-ように]] was-induced.
仕向ける is a deliberate, slightly formal verb meaning 'to induce, prompt, lead someone to do something' — implying the subject acted on her behind-the-scenes, often with a manipulative or strategic edge. Here in passive form 仕向けられた, the speaker is reporting that she was the one being maneuvered. お供 ('attendant, companion') is a respectful word for accompanying someone, with the polite prefix お~. ~ように is the indirect command/purpose marker — 'so as to,' 'in such a way that.' The whole construction has a cool, almost detective-novel flavor: she was nudged into coming along.