After Elena returned back to where Azusa was waiting for her, she found Azusa to be in a very bad mood. That made sense as just a few hours ago, she had found herself in a terrible situation and she was not strong enough to perfectly handle that situation.
Seeing a grumpy Azusa, Elena took some time to console her. Azusa was actually quite young and was no where close to reaching her full potential. So she had a lot of growing up to do.
After Azusa had completely reached her true potential, Elena had no doubt that she would be among some of the strongest in this universe. Obviously her father was also aware of that which was why he was allowing her to roam around the universe in order to experience many things and to grow.
Azusa was not a young person and was aware of things like this. But still sometimes she needed an elder like figure to remind her of this. Here Elena took just that role.