Considering God's personal name, the Tetragrammaton/יהוה, appears almost 7,000 times in the original text of the Hebrew Scriptures, I'd say He's already let us know it is highly important to Him...Jesus also felt so...
“You must pray, then, this way:
+ “‘Our Father in the heavens, let your name
+ be sanctified" Matthew 6:9
“I have made your name manifest
* to the men whom you gave me out of the world.
+ They were yours, and you gave them to me, and they have observed
* your word." John 17:6
John 17:11,12,26; John 5:43;10:25