By the way, I just recalled reading a book that talks about eye contact with cats (don't ask me for the name of the book or author, cos I don't remember). Its all about who's the boss (leader), between you and kitty. You may wanna re-establish that relationship. If kitty stares at you, you stare back and do not be the 1st to look away, if kitty's eye so much as roll away 1st, you win. She will accept you as the leader, then watch out for the change in behaviour thereafter.
ET didn't quite like my hubby initially and wouldn't allow him anywhere near my computer desktop where he and I share. I talked about the eye staring incident, which my hubby said, ET always stares at him, but he is always the one to look away 1st. I told hubby, next time ET stares, you stare back and never be the 1st one to look away. Hubby did just that the next time ET stared at him, and wow! ET finally submitted.
Let's see what the other experts have to say about this.