遅れた理由

reason for being late

→ 遅れる
phrase Rare #26,477
reason for being late 遅れた means “was late” or “was delayed,” and 理由 means “reason.” The person or event that was late is understood from context.
JA: 先生は、電車が遅れた理由を説明しました。
EN: The teacher explained why the train was late.

それが彼女の遅れた理由

That's why she was late.

これが私が遅れた理由です

This is why I was late.

それが彼女が遅れた理由

That's why she was late.

トム遅れた理由教えてくれなかったんだ

Tom didn't tell me why he was late.

トム遅れた理由について何も言わなかった

Tom didn't say anything about why he was late.