She sounds exactly like my dd(same age) my twin boys are 4 and I had similar worries as we keep getting cards,pictures etc from my niece who is the same age as the boys and draws brilliantly.
Anyhow I started to realise their pencil control is quite good they're brilliant at cutting,painting errr patterns,making models etc Also as a reception teacher I rarely saw a child who came in not drawing and if they did they picked it up quite quickly. They also adore books and letters,1 is train mad,loves his bike the other loves music etc so I figured drawing just not their bag.
Well in the last 6 months I've noticed that when they want to (the key thing here) they're actually pretty good at it. Just saw their self portraits up at pre-school and one had nostrils!!!!!! Very proud mummy So i'm thinking an explosion is starting to happen as we're starting to have some interesting pictures like mermaids, beanstalks etc 1 has a lovely imagination I wasn't aware of before (he's 4 1/2)
So I'm not going to worry about dd, also although it would be lovely for them to love to draw etc it's not the most important skill in the world. As long as they can hold a pencil right(which dd still isn't doing)and has good pencil control for writing etc I'm not going to worry too much.
One thing which may have helped the dtwins along is the Do You Doodle books by Nikalas Catlow. It's a huge drawing book with pictures 1/2 finished. It's fun and not threatening eg What's in my soup? a picture of a bowl with a boy looking into it. My lot loved drawing slugs, worms in it etc
So try not to worry