You cannot help W. She needs to figure out her own chit and let her be. You've got to stop asking how she's doing and offering to 'help' her.
Right now, you need to treat her like a roommate. Get out of the house and GAL more often.
I do not see any mention of a OW. Is your W in constant contact with someone? Most of the time there's a OW/OM in the picture. Not always.
Are you saying that you all three live in a two-bedroom place, correct? Which means that your twin has her own bedroom and you have the MBR. Where does that leave W?
Trying to get a better picture of your living arrangements here.