Rationally considering, the thing that Reiger most needs to do right now is, without a doubt, to confront and attack Udaeus.
Even though Udaeus is a floor boss of Level 6 classification, with Reiger's current strength that could even surpass Ais's, he also has the capability to battle it alone.
In the original story, Ais defeated Udaeus by herself, although it was a fight that could be described as perilous, Ais ultimately won. Therefore, there's no reason for Reiger, whose strength now surpasses Ais, to fear this floor boss of the 37th level.
At worst, taking Ais and retreating, avoiding this battle, is something Reiger could easily do; he couldn't possibly lack this confidence.
However, this is only considering it from a rational perspective.
But if we consider it from an emotional perspective, that's a different story altogether.