She turned to me for help.

Literal

She [topic-は] me [to-に] help [object-を] sought.

助けを求める is the fixed collocation for 'to ask/seek help' — literally 'to seek a rescue.' 求める is a step up in register from お願いする ('please/request') or 頼む ('ask') — it carries a sense of weight and seriousness, often used in emergency or formal contexts. Note the structure: the person being asked is marked with に, and the help itself becomes the direct object — a typical pattern for verbs of asking and seeking.