Cognac - my humble opinion is that it is impossible for you to fail your daughter.
Agree with Sabin. Eye and ear test. My son didn't actually speak until he was 5 because apparently "he just didn't want to". The best thing about having all those tests done was that it proved my son wasn't incapable. He baffled 'them' all and now he's a successful career man in the visual digi arts. Another good thing for the testing was I didn't feel like I had failed him somehow as a parent.
Don't give yourself a hard time. Who knows what amazing, gifted talent your Ava has that she hasn't exhibited yet. Go with the flow and if you sense stifling, back off. Not everyone needs academia to make a success of life :)