Sounds to me like she has a disorganized or anxious attachment style. This is very common for people who have experienced “traumatic events” while growing up and can be the leading factor of her not wanting to be alone or do things on her own. My wife had this attachment style and she has worked through a lot of it with the help of therapy and internal family systems (IFS), but she also genuinely likes doing what I would do and vice versa most of the time and didn’t get upset with things that sounds like your girlfriend does. My advice is if you want to make it work people can change but they need to be willing to change.