Completely agree with pp regarding ignoring your HV. Your baby is doing fine, she's only 9 months old, she'll drop her milk intake when she's ready.
Given that she's been mainly on purees until now, I think it'd be cruel to suddenly stop that (she needs time to adapt and pick up the skills for eating non-pureed foods) and as pp said, offering both at every meal will give her more practice and will let her drop the purees as she gets more interested in different textures/flavours (will also give you practice at cleaning up the mess
.
I'm doing BLW with my 8 month old (so slightly different route to the same destination) and we're still offering him 'basic' finger foods that we always have (long slices of fruits, steamed veg, toast/porridge fingers, baby rice cakes with peanut butter, soft dried apricots/figs etc) but in the last few weeks we've started giving him a dollop of what we're having too (along with his other finger foods)
This was primarily to let him play with it (very messy!) and learn skills about picking up different things, but he really took to it and started eating it (fun seeing him pick up fistfuls of fusilli pasta and then nibbling at it in his fists :-)
The best fun so far was spaghetti bolognese, which I had no plans of him eating as it is far too tricky and he didn't have a pincer grip, but he had such fun (first time he has laughed all the way through his meal as he pulled at the spaghetti
. Mind you, DH wasn't laughing so much when he had to clean up the floor....
'food is fun until they're one' some babies take longer to switch from milk to solids (DS1 was definitely more of a milk monster) but they all get there in their own time, when they decide, not when your HV does...