The apartment as described, we were fine on that matter.
But just a piece of advice: don´t leave any valuable inside the car. We parked at the street of the apartment, left the luggage and when we were back after 15 minutes two suitcases were gone, stolen (the car undamaged). Nevertheless, the area of the apartment (and Bordeaux) seems pretty safe, and at any moment you have bad impressions or feelings of unsafety, even after the theft, just on the contrary. Most people are really kind. In fact, a neighbour helped us and told us to scout the streets around because thieves usually take what they want and throw away the rest. And two streets away we found our suitcases open on the floor, all the clothes scattered around and we could get everything back except a laptop computer and some small items. Second piece of advice: if your are stolen, first have a look at the surroundings.
Apart from the neighbour, the police were also extremely kind and helpful and confirmed us that thefts happen in Bordeaux.
We texted to the host and she answered she felt sorry and that it had never happened before. We missed some sort of an offer of help or advice on her part: actually we needn't any (the neighbour helped us with the police, our French is limited) but it would have been nice.