To say that a 737 would have "no problem" would be overly optimistic. A 737, like all commercial airliners, is pretty tough, but there are plenty of things in a hurricane that could bring one down. There's hail, up-and-downdrafts that far exceed the capability of the aircraft to overcome them, and turbulence severe enough to flip the plane inverted. The least likely event is turbulence severe enough to structurally damage the plane, though even that is possible, and hail could definitely damage the plane, especially the engines, to the point where it would no longer be airworthy. You might make it, but you'd be rolling some pretty serious dice.
Landing in a hurricane would be impossible. You can handle being kicked around in the air because there's nothing to hit. But near the ground you need reasonably stable air in order to make a controlled landing. Anything more than around 50 knots is pretty much a show-stopper for any civilian aircraft, and even much slower winds than that can present significant challenges if they're gusty or not aligned with the runway.