Most Helpful Girl
Wow, this really sucks. It sucks for you and it sucks for your daughter. Your partner, for lack of a better term to call her, seems very immature and not focused on keeping the family intact for your daughter.
If you want to keep this family together for your daughter, I suggest you ask your partner if she wants the same thing. If she does, I would ask her to stop playing xbox and chatting with other dudes as a sign of good faith.
Ask her to do it for six months and in that six months, you guys will go to couple's counseling.
You can not keep this family together alone. Your partner needs to be on board as well. The six months should give you both time to figure out your priorities.
Hopefully by the end of the six months your priorities align. I am not sure it will but for the sake of your daughter I hope it works out.
Best of luck to you.
Most Helpful Guy
you guys just need to communicate and get on the same page. you should both appreciate spending time with your daughter together. you can split the household chores so you have more time to spend together.
perhaps you could each sit down and say the things that you're willing to change to help the relationship. you could give her the attention she deserves and she could cut back her Xbox time.
plan something romantic together to reconnect and find things to do together :)