I can't seem to interact with that statue. I can see that you get a key from it in your screenshot but it just pulls up the inventory every time I click it.
Yes, looks like you don't have anything in your inventory, you need a nose that's missing in that statue (perhaps I should make that more clear in the game) Once you have that in your inventory, you can use that item and it will solve that puzzle rewarding you with a hidden key! Kindly let me know if it doesn't work out, I'll see asap, but if this was the case, it'll work