。
She told the tale of her strange experience.
Literal
She [topic-は] her own strange experience [object-を] narrated.
語る ('to narrate, recount, relate as a story') is the literary/elevated alternative to 話す ('to talk, speak') — it carries the sense of telling something as a tale rather than mere conversation. Often appears in folktales, oral history, and reflective narratives. 奇妙 ('strange, peculiar, weird') is a slightly literary na-adjective for things that break expectations. The choice of verb tells the reader: this is being framed as a story, not a chat.