Her comments about feeling alone or wanting to be left alone have nothing to do with you... It has nothing to do with your asking her to cut the chicken... And in fact, she's pretty darn confusing, and you can tell her that next time she asks about your attitude, or if you are nice enough to do something for her...
Say something like, "you asked for space and I am giving it to you, and you seem to like it until there's something you don't feel like doing... Well, I am not having it... Just think of it as me giving you your space.":
