Might be wishful thinking but ideally i wouldn't call her if i were you and wait for her to apologise. Allthough she doesn't sound like the type to say sorry ever.
I bet she's thinking you owe her one but she is wrong.
She should have understood that you were busy with your DD and not made things worse by having a go at you. Kids birthday parties are hectic at the best of times for mums. She was acting like another child.