Do you think that it's fair for my sister to tell me that I need to move to a different city to take care of our Father and leave my husband?

I have a sister and two a brother. our father is 91 year old he lives 400 mile away from me. one of my brother live in a different state.my sister live 11/2 from him. i went to see him more than she did. our father just got sick and instead of needing a part time care know he needs a full time care. Where I live there nothing for him medical because i live near a military base that were i go for medical. when he was in the hospital my husband and i drove 400 miles to see him for a week and she only went for two days and that was because the social worker needed for her to fill out papers since she is my dad legal guardian.so she decided to move him with her since she doesn't have a husband because he die 8 years ago. so she hire a person to take care of him while she work. so know she is always complaining about everything that she can't go get her stuff done like she did before. but i think she thinks since i don't work i should pack up and move so i can take care of our dad and tell my husband i will see you when dad die. so she can have her freedom back. i told my father and he said now way and if i did that he will never talk to me because he said i have a great husband and that is not fair for me to lose him. i went home when our mother was dying with my kids and took care of her by my self and at that time our dad was in a little better health than what he is know but with her we knew she only had a month with dad we don't know. twice he has been in hospital really sick that we thought this is it and he has come out of it. my brother is against of me moving. i told my dad her and her family always throwing at my face that i don't work. my husband has a great job and i am able to stay home. we travel and know they throw that too.i will still go and visit my dad but i am not going to move because she want me to. i would do that to my husband. my father understand but she is very selfish. she call me to tell me that my dad piss on himself or poo and that she has to be cleaning him up. i have done it before when i went to visit him at his own house and i didn't call her to complain about it i just clean it up and move on. i did it with our mom too and never call to complain.