Found the solution - at least for my system:
- Pair the Wiimote
- Connect
- Launch Dolphin
- Open the the Controller panel
- Press refresh - the controller should buzz and show a single LED
- Now it connects to the games.
- Pair the Wiimote
- Connect
- Launch Dolphin
- Open the the Controller panel
- Press refresh - the controller should buzz and show a single LED
- Now it connects to the games.