First of all, it's more about the plot of Liz and partly Suguha.
As for Administrator, besides collecting energy, he is just entertainment and an actor in the show for her. Well, it's worth understanding that Kirito and Inoda aren't the only ones who receive her blessing - "Do you really think that you're my only chosen one? Haha! Impossible! There are others..." As long as I find someone interesting, I give them 'gifts', or... you could say, 'invest in them'.
Moreover, she even has her own apostle. "That girl with the short haircut and my last blessed champion, they can lead you to the path of pleasure."
However, you shouldn't think that Kirito won't be able to fuck her, she herself somehow hinted at this "Then you can get the honor of further interaction with me", "Mind your own business, my Tom Sawyer among protagonists."
But she also spoke about Inoda - "That chubby guy with whom you are on good terms, recently showed himself so well! He is the embodiment of human negative energy, he is like a nuclear reactor~." "Recently, when I saw him, he even bowed and begged me for help, crying. I thoroughly ridiculed him, it was so funny!"
"Hey, what do you think, should I make him my first chosen divine? Should I change some of the principles of non-interference and give him some blessings?"