There's not a great deal of demand for hotel rooms in Wangdi. Many travellers just make a day trip to see the dzong or stay in Punakha (30 minutes' drive away) and continue straight through to Gangte, Trongsa or Bumthang. At tsechu time in autumn, however, the town is packed and rooms are at a premium.
Try removing some filters. Alternatively, there are some nearby lodgings with availability below.