She said in those words? It sounds like improper English. Like “sick to my stomach” sounds like an expression. I’m confused lol
Stomach upset is code for runny poo. And sick to my stomach is code for being annoyed. That’s here anyway
I would take them both to mean the same thing, that she feels sick to her stomach, so she either has a stomach ache or feels nauseous. But I don't think it was necessarily wrong for you to leave. I know when I feel nauseous or have a stomach ache, I'd want people to leave so I can go to the bathroom in peace and not feel like everyone can hear what's happening 😅