[bolt.]

If you don't want to think of it as defiance, think of it as persistance. Defiance is "She wants to go against me. It's about us, and it's about her being under control vs being out of control." Persistence is, "She wants to do what she wants. She's not thinking about me, she's thinking about dirt. She's pursuing her own goals, and I'm an obstacle not a person in her mind."

As for what to do, I think what you did was fine, except that you got mad and perhaps rough with redirecting her. If you'd done all that while remaining calm, or if you'd ended it earlier while you were still calm, that would have been fine.

A script might be, "I see that the temptation for you to do xyz is too hard for you in this situation. You aren't able to make your feet and hands obey the rule. I think I will take you inside since you can't handle being here."

Older kids I would give another try, to see if they can 'up their game' and handle the limit... And they'd have to discuss their plan with me... But at a young age, it's just over when I call it 'over'. Protests don't get anything but sympathy.