LotR1-FotR-Seq08

[The Saucepan Man]

Originally Posted by Sir Kohran

I never really got the impression that she was giving her place on the ship to Frodo when he collapsed at the Ford, but that she was just simply wishing for the good fortune (grace) to help Frodo survive too, as it had helped her.

I would agree with that, and would note that "non-book readers" would not have received that impression either, as the concept of Elves going West had hardly been touched on at that point in the film, and Arwen's choice had not been explained at all.