At one's own preferred pace, without consideration for how it will affect others. I'm sure she'll get here in her own sweet time, as if we have nowhere else to be today. Don't worry, I'll get the assignment done, just in my own sweet time, OK?

In one's own unique style or manner, without consideration for how it will affect others. Don't even bother trying to micromanage him. He'll get the assignment done, just in his own sweet way.