I found it eventually although it took some doing.
It's tucked away in an alley within the oldest part of the town. The walls are constructed from stone and are quite thick. Inside the air is so cool in contrast to the heat outside and at first I thought there must be air conditioning, but there isn't. My room is simply furnished and spotlessly clean, the furniture is all old and painted with gloss paint which gives the place a charmingly simple appearance, like something from an article in a magazine about doing your home up on a very tight budget.