Adults climb all the time, with kids and without, so it's her who's well off the mark anyway.
I would suggest, if possible, that you learn to reframe, because nothing she's talking about is actually about you - it's about her, her fear of being embarrassing/doing the wrong thing/looking out of place, maybe feeling like she's a burden to others etc. Her reaction to the TikTok video sounds like it's coming from the same place.
So if you can reframe it (in your head, saying it out loud is unlikely to help) as "oh, it's not about me, and what a shame that she has these hang ups and feels so bad about herself that she limits herself in all these ways", then you realise that 1. It's not about you, 2. It's not something you need to give any headspace to, and 3. Other people's opinions are always driven by their values and fears.
And on point 3, she's allowed to have different values and fears to you, and you're absolutely allowed to think, and act, in accordance with your own and not hers.
It's not your baggage, no need to pick it up, just leave it with her.
"Oh, you think so?..."
And also... If she does it too often and you end up not enjoying yourself in the relationship, you have choices - you can both know that it's nothing to do with you, and also choose not to continue a relationship with someone who decides to interact with you in consistently negative ways, and that's totally fine as well.