I am finding it harder to remain kind in dealing with life and death issues concerning dad and his life threatening illness. Advice?

I am working out of town to help my parents. I live in Texas and they live in Louisville, Ky. My Mom and Dad are 78. He has had this disease for 12 years. They always said that the Parkinson's would not kill him, it would be something else. Well right now we are barely coming out of a sepsis caused by UTI whom Dr.'s suspect was probably brought on by him scratching his own penis from constant condoms, adhesives and general irritation. The last infection came from bed sores.
So here I am a productive member of society who is learning as fast as she can while trying to play a chess game for the last 2 years or so long distance with a disease that requires keeping one or two steps ahead of infection, falling, Mom loosing her mind, CNA's wondering if they have a job after weeks of unknown homecomings that keep being put off week after week. I know we need them more than they need us. It's just a matter of time when they leave us.
Back to my original problem. Because I could go on and on, lol. I feel like my trying to be efficient and manage my time as best I can, I am becoming cold. I am throwing so much shit out there hoping something will stick I am forgetting that people don't take it well. So I am struggling with that fine line where you have no time for patience. Which is more important, to handle you gently or time management to effect a better solution?