If you & your sister weren't relatively close by what would she do? I reckon she'd need carers in. I think there comes a point when enough becomes enough. I suspect your sister would feel guilty if she got carers in, hence dragging her feet over it. You are both going to end up ill at this rate. You yourself have had so much to deal with over the last 12 weeks, you don't need this too.
We moved north before my mum got this way, my brother was relatively close by. Enough became enough for him & they then moved much further away so wasn't at her beck & call. She survived, though think probably plagued neighbours instead. Some 2/3 years later went into care home as no longer able to look after herself. Your mum, by the sounds of it, is no longer capable of looking after herself. If she can have more carers, make use of the service so you & your sister can get your lives back on track.
