Exactly that. My 9yo just had a full on tantrum with tears and screaming because I said no to getting an ice cream from the ice cream van. It's followed by raging around screaming about how we don't care about her and we always say no to everything and we'll probably say no next time too (which I will if she behaves this way again). She rages like this every time she's told no. I don't give in, so it's not like it achieves anything and she gets her own way, because she doesn't.
She's also horrendously impatient, demanding and always interrupts.
We have autism in the family, but no girls with autism, so I have no idea what girls with autism present like. Would you be concerned?