She said “he’s running as the ‘Body of Christ’”, your source doesn’t make that claim. Cruz references the Body of Christ in a prayer, of course he doesn’t say or imply he is the body of Christ! She lied.
You are quite correct he did not say HE was RUNNING as the body of Christ, but by the same token you said:
He’s never said ANYTHING like that.
He did say something LIKE that. Whether her statement was intentionally inaccurate(a lie) or not is also up to you or anyone to decide for themselves.