It's not what was said, it was how it was said. But, whatever, I'm not going to argue about it. If you can't say things to Liz without making it sound like you're putting her down, then I think it's better not to say anything at all. But that's just me.
What 'situation' could there be that means one has to be so rude about what they say to/about her?
If it's just a case of she always asks for help, but doesn't want to go doctors - then I don't see that as an excuse to be rude to her.