Asking someone 'are you busy today?' in Italian?

I have a question about the adjective ‘busy’ in Italian. In the Michel Thomas Italian course, it’s taught as occupato/occupata. However when I asked an Italian person that I know, ‘è occupata oggi?’, she said that ‘occupata’ is not the correct word for busy in this question. So now I’m confused. So can you tell me what the correct way to ask this question is. Thanks!

Wordreference is great in many ways, one of them being that they specify the meaning in brackets.

busy (occupied person) impegnato/indaffarato
busy (active) impegnato/pieno d’impegni
etc.

https://www.wordreference.com/enit/busy