If someone does something shrewdly, they do it in a clever and careful way, often to get an advantage.
Doing something shrewdly is usually seen as a good thing, like being smart and tricky at the same time.
Examples:
She shrewdly invested her money and made a lot more.
He shrewdly avoided the trap.
The fox shrewdly outsmarted the hunter.
The cat shrewdly waited for the mouse to come out.
The detective shrewdly solved the mystery in no time.
He shrewdly bargained for a better price.