[onewhitetree]

Luthien's fate was tied up in her beauty. It was as much a part of her as her voice, her mind, her spirit, et al. If she had not possessed all of these traits, she simply would not have been Luthien.

Speaking of fate, she and Beren were fated to be together. Just think of the impact their relationship had on ME. So speculating on "what if" situations isn't really relevant at all. Luthien and Beren both were made exactly as they were for a purpose.