Board Thread:General Mod Discussion/@comment-27865464-20151225213330/@comment-25277703-20151225220101

https://www.quora.com/Why-did-Galadriel-get-the-Ring-of-Power-and-not-Celeborn-in-The-Lord-of-the-Rings

In summation, because Celebrimbor loved her, she was the greatest of the Eldar in Middle-Earth in terms of lineage, the light of the trees in her hair (it had magical properties). and age. Finally, although she ruled Lorien with Celeborn, Galadriel is seen as the more powerful ruler, both in terms of power in general and of the realm as a whole.

Hope this helps!