Did Arwen do the right thing?

[Gorwingel]

For Arwen, deciding to give up her immortality was a hard decision, even though she had lived a very long time, (If I am not mistaken) don't years for elves feel very short, so maybe she did not feel she had lived for a very long time. I think it was wonderful for her the years that she got to spend with Aragorn, but at the end of their story in the appendices, it does get very sad, when she is all alone in Loren.