。
She had her handbag snatched from her arm.
Literal
She [topic-は] arm [from-から] handbag [object-を] was-snatched.
An adversative passive — she is the subject who was negatively affected by someone snatching her bag. The passive ひったくられた (from ひったくる, 'to snatch/grab') frames the event from the victim's perspective. English would say 'someone snatched her bag,' but Japanese makes the victim the grammatical subject.