Agree with all the advice not to fret at this point, and do whatever feels right for you and your family.
We planned to feed purees with some finger food (ie bog standard weaning) from 6 months. A week in and I could have written your OP in terms of how well it was all (not) going. DS was having none of it, he clamped his jaws shut, refused the spoon, yelled, cried and was only interested in the finger food we offered or what he could grab off our plates.
So we ditched purees and never looked back, because BLW was what worked for our baby and our family. No harm in trying whether mixed feeding is going to suit your baby better, if you wanted to, You said she doesn't love purees either, so not necessarily the answer but you can revisit it at any time.
That said, I don't think you need to be worried that BLW isn't working well after a week. You said she's interested and she's having a go, that sounds just fine for such early days?
My DS didn't really start eating "properly" in comparison to the quantities that spoon fed babies all around us were eating until 10+ months and was a lot slower to drop milk feeds than the traditional advice and HVs indicated he "ought" to be. I think that's quite normal with BLW? It was hard not to worry occasionally whether we were doing the right thing. It was also hard, on a practical level, not to feel a little envious of the ease and convenience of spoon feeding. The mess at mealtimes in our house was epic and I sometimes felt like the entertainment when eating out with other parents and their (spoon fed) babies. There would be a little row of tidy efficient eaters, eating up their puree and then playing nicely with toys on their high chair or taking a nap while the adults ate their lunch... and then there'd be DS, chucking his share of my lunch, plus the supplementary finger food I'd brought specially for him, all around the place with gusto for the duration of lunch (but eating far less actual food than the puree-fed babies) while friends asked how we coped with the mess at home and were we worried whether he ate enough?
Occasional worries or social awkwardness aside, though, BLW was just so much easier. We mostly adapted our meals so that DS could share them (nothing more soul-destroying than cooking separately for a BLW baby only for none of it to be eaten by anyone!). A particular joy was food being social from the start - no having to feed the baby first, or separately. I read Carlos Gonzalez' book, "My Child Won't Eat" and learned to let got of worrying whether DS ate or not, and adopt the mantra "my job to provide a range of healthy food, his job to eat it or not", which was liberating too. And with hindsight I think there is a big element of frontloading the "practising for feeding yourself" stuff, so they're spending time on those skills very early, which of course means they get less actual food inside them than puree-fed babies in the first months - but once they really get with the programme around 10-12 months, they catch up very fast and of course you don't have to go through any sort of transition process from purees to lumps and from lumps to proper food and family meals. As a toddler and pre-schooler DS has always eaten well. He decided to be vegetarian as a pre-schooler (though the adults in our family aren't) for ethical reasons around not killing animals and he has stuck with that decision for 18 months and counting, which I think in large part flows from that early and ongoing sense of autonomy over his own food choices. So judging by DS there's really no need to worry if they're not eating very much at all in the early weeks and months.