Five months is a long time to be an uninvited guest. It is also a long time to be sitting around not doing anything to help yourself get out of an unwanted situation. In these five months, did you see her behaviour showing her desire to become independent, move on with her life, do something, work, study, etc etc? Heck, even help out like crazy around the house? Greeen card thing is not even an issue, just go to the right authorities and get it but then what? She really needs to chop chop and get moving.