Love Gravity Falls, but honestly think Wendy is the weakest aspect of the show... mostly because they don't really utilize her all that much. She's usually just there for Dipper to pine over (ba-dum-tish). The one thing I liked the most about her was that episode with the boy band, where Dipper was trying to call Robbie out on trying to brainwash her, completely ignoring Wendy's personal feelings about her boyfriend lying to her. And when Dipper tried to catch her on the rebound, she thoroughly chewed him out for it! It was both satisfying and hard to watch... Here's hoping they do more with her in season 2.
...Incidentally, I wouldn't put it past Sheriff Blubs and Deputy Durland to give this kind of authority to Wendy.