Can you try to get her to "help" it'll make her feel a part of all the new stuff going on.
Could you possibly get her a gift 'from' the baby? It's one of the things we did.
Every time DD did something for DS at the start we'd praise her and say something like oh he loves it when you do that for him. Quickly she started feeling very proud of herself as a big sister.
Perhaps while your drawing or doing something with her ease into a chat, but then leave it for a few days and don't mention it, sometimes they just need some space too.
It is hard my dd was 7 when DS arrived so I was really scared of ruining our great relationship, but it all works out, DD and DS also adore each other. Just take each day as it comes, you'll get there!