The All-Saints Inn
The All-Saints Inn is the only inn in the Imperial City's Temple District. It is found adjacent to the Gate to the Talos Plaza District and next to Gilen Norvalo's House.
The publican, Willet, buys potions and food while selling only the latter. The ground floor contains the reception area consisting of bar with a counter and a dining room while the rooms are in the basement.
The second floor contains Willet's private quarters, as is usual with Imperial City houses and stores. If you pick the lock you will find two beds: a single and a double, both of which you are free to sleep in. In the basement you can choose between the three available rooms: all are well-lit and contain a bed, chest of drawers and a table with food.
Elder Scrolls Wikia entry on this location can be found here.