"Um… I'd want to find out if it was definitely risk-free, but if it turns out there are gods here and some of them do hide magic, then you might end up showing me to someone that the gods decide to hide me from. And if they use the same system 'my world' uses, then I'll end up in trouble for that. The gods hiding me isn't free, I would owe them a debt." She looks at the first human. "I tried to get away from you when I first saw you, because I was scared of what I'd end up owing the local god for hiding me."
you can also be seen on the phone by other people
Another adrenaline spike. She didn't even think of that. They just have this image of her now, and they could show it to anybody.
…Maybe it wouldn't count? Plausible deniability counts for something. Being seen directly and up close in broad daylight almost always triggers intervention; being seen from very far off or in the dark often doesn't, because the human can mistake what they see. But… she doesn't know exactly what mechanism that operates by. She doesn't know if the important thing is that they misperceive in the moment and don't even consider that what they're seeing looks like a mermaid, or if the important thing is that they tell themselves it only looked like a mermaid because of a trick of the light and it must have been a seal instead.
Besides, even darkness and distance don't reliably protect from intervention. It's hit-or-miss. So a 'recording' would probably also be hit-or-miss at best.
She could ask these people to not show that 'recording' to anyone, but even if they say yes she'll have no way of knowing if they're being honest, and she'll have no way of stopping them if they're being dishonest or if they change their minds later.
Now she wishes they'd asked before making a 'recording' of her. But they wouldn't know about these things, so of course they wouldn't know there's a reason to ask.
But maybe they wouldn't have cared even if they'd known.
She's completely at their mercy.