Obviously there was no way that Elena would refuse to help Haity. This trouble was something that she could fix with just a little bit of effort on her part. So there was no reason for Elena to not help her out.
As the situation was dire, it was prudent to start the investigation right away. But there was a problem. Elena still needed to bid for the Saphiria's Determination so she needed to stay in the auction house for the time being.
As Elena was thinking about using a clone to start the investigation first, Azusa spoke up and reassured Elena that she would get the Saphiria's Determination bracelet for her. So Elena could focus on finding Haity's sister without any worry.