i need a lot of help

so last week me and my sister got in an argument and it's been a full week now since we've avoided each other around the house. going into detail about what our argument was about is pointless because it was so small and it wasn't bad enough to the point where two people can't get forgive each other and move on. i know i've moved on but i don't think she has because she's been so cold to me ever since. like yesterday for example, i was on my way out of the house and i had to pass by her to get to the front door. she didn't even look up from what she was doing to acknowledge my presence even though i had the decency to look at her. i've put up with a lot of teasing and emotional abuse in my life but those two minutes on my way out of the house are by far the hardest two minutes of my life, i'm literally so depressed about this and it kills me feeling like nothing to her. the last thing she said to me during our argument was something along the lines of, "when i move out i'm done with all of you" and considering the way she's acting i really am afraid she's going to write me off and it makes me sick to my stomach. how do you reach out to someone and makes amends when they can't even look at you?