Alita to be honest, her state of mind had been greatly affected a lot. Although she had earned a lot this round, she also understood that these four great families didn't get their status for being weak.
These families definitely had secrets and if she is unlucky, she will definitely meet her doom. If they couldn't subdue her, her family will be in great danger and she didn't want that to happen.
So, she needed to be strong as quickly as possible if she didn't want to be looked down on like an ant and the best place for this kind of training was that world that makes her shiver whenever she thinks about it.
Of course, she can also make some alliances like marriage but she hates using someone for her own selfish interests especially when a lifetime and happiness is concerned.
In the end gathering, a lot of energy stones was still the best for her and the fastest way was to go back to the modern world and get them. at the same time, she can also fulfill her promise and marry Gail.