This all sounds pretty unhealthy-I'm not surprised you are feeling down.
you have nothing to feel guilty about. If she has a physical problem then she should see a doctor and arrange proper care and medication. She blames it all on you and your drink problem? This doesn't sound right at all. Of course, the poeple in our lives worry about us but they are responsible for their feelings and their own health care, just as we are for ours.
She's putting guilt on you and you're putting guilt on yourself and this is all long distance too. It must be difficult when you're not in the same room as someone as can't see them or hear them, intonation, body language etc.
Obviously you have physical distance, maybe some emotional distance is required in the early days of sobriety for you. Of course we can't control what others say or do but if people in my life are making me feel bad and trying to make me feel guilty or putting blame on me for something that really isn't my fault then I wouldn't want them in my life.