I’m not sure what you mean by saying she “fat shamed” you. That’s not accurate in any sense of that phrase I can think of. While I do think it’s a little bit odd she asked you to pull out your table for her, I also think that there’s an undercurrent of judgement in your comment.
You start out by saying that the author is “adding her issues” to the problem, implying that she herself IS a problem. That’s not only rude, it’s a stigma that people in fat bodies face on a near-constant basis.