It's completely normal, so don't worry. Babies that age have a reflex that makes them reject new flavors and unfamiliar textures, especially if they've only been drinking milk. Vegetable puree has a pretty strong taste compared to what she's used to, so those disgusted faces are basically her way of saying "this isn't familiar to me." What's happening is that her palate needs time to adapt.
The important thing is that you keep trying without pushing. Some babies need to try something between 10 and 20 times before they accept it, so a week is nothing. What I'd do is offer her the same vegetable several days in a row instead of constantly switching things up, and if she rejects it, just try again another day without making a big deal out of it. Some parents also have success if they try giving the puree a bit more diluted at first, so the flavor isn't as intense. And honestly, if you'd started with carrots instead of broccoli since they're sweeter, maybe that would've gone better, but at this point you've got the chance to try other flavors too.
Your mom means well but consistency is actually what matters, just without the stress. Patience works better than giving up. In a few weeks she'll probably eat without any problem.