Alita was supposed to be in seclusion for ten days in her original world and this meant that she can only be in this world for roughly five months. She didn't want to just leave but wanted to see if she can do something and earn even more.
The last time she ended up going to Blackbird city where Chris lost their child. This time she wasn't going anywhere to pick up ladies but to earn money.
There was a lot to be earned in the ancient world and she was going to take advantage of this.
Two months after arriving, everything was basically settled and several ladies were introduced to her but she wasn't interested. The jealousy in the ancient era ladies was too much for her and she didn't want to have any blood on her hands especially when it concerns children and wives.
With the friends she made in these past two months, she got to know of places where one could make money or rather find items that can make her earn money in other worlds.