Again, this still doesn't mean much in the long run unless Chemical beats Akari too. And I don't know if those two have something planned out either. As Alpha male and Alpha female are mates, and Akari and Beowulf are still mates, and still would be. If Chemical won Beowulf's fight but lost Akari's, ... well I'm not sure what that would mean.
Also, another option is for Chemical and Beowulf to tie. it wouldn't do much for the plot, but Chemical would definitely get a higher rank than she is now.