How do you confront a sibling who thinks our parents are going to be dumped on her because she is single?

ya know that is a great question as i think about it and i get un-mad and calm down i dont think she was prepared for our mom to die albeit it was sudden 2 months and she was gone from a rare disease so i think she never truly got over that and when she even thinks about my father who is 85 possibly dying she reverts back to a child like state of " i do not know what to do, and why me" so yes i think she is emotionally unable to deal with most of what goes on and as you know you can only do what you can do. everyone is different so i guess you question answered my frustration. now to convince my husband hahaha by the way im the youngest of 4 but the one that always took the lead in family matters i handled my moms illness and death and my fathers illness and when he goes so i was tagged in the family as my mom put it 'you are always able to deal with whatever life hands to you' like the saying says mom knows best eh? thanks for asksing some questions it helped me put it into perspective. have a great day

is she emotionally unable to deal with this?
why should u be doing most of this?
is she unwilling to help?
how old is she?

she feels since she is single that she will be the one who has to "do " for our father. thing is im home raising my family taking care of 2 homes and preparing dinner for my father 4 of the seven day week i also take care of any business he needs help with and all the dr visits. so now that he has injured his back and is imobile he needs more intensive care and my experience with moving injured people comes in to play so i am able to move him i also am the poa over health and property he trusts me to do what is right. thing is she feels since she is single and works days that because she has no childern that she is going to be dumped on. no matter how many times i tell her it doesnt matter she gets emotional and mad right away so i just put up with it but now things have gotten a little more serious and i would like to be sensitive to her feelings but dont know how to do it besides having an arguement. which is not what we need we need to act as a team. i dont mind taking lead always have but she falls apart way too quick how do you handle someone like this. dont really know if you could answer it just need to vent. i have a supportive husband but he is even feeling a little irritated and is refraining his comments because i have asked him to i just dont want it to explode into a huge family arguement and my poor father who at this time is incapable of doing anything himself and he is intensely independent. help?

im not sure what u mean by "being put up on"-
can u explain a bit more?