Hi aperson, welcome to PC. Well, your father passed a year ago, your wife and you are getting a divorce, and your mother is mentally declining. I think it's understandable you would be depressed from all that stress and loss. Your sister should be understanding but it appears she's too worried about herself and her own issues.
The only thing you can do at this point is distance from your sister's negativity and concentrate on taking care of yourself and getting rest. If we have life changing events medication can help with the anxiety, but it can't remove the challenges we deal with. All you can do is practice patience with yourself, take things one day at a time and try not to solve all the problems all at once as that's impossible for anyone. We all have to deal with major life challenges by learning how to move forward one day at a time.