As Rev said she has a nice apartment but not what I would say is in an exclusive Ajaccio neighborhood. I've been thinking of visiting Corsica in the future so I was checking out my options between a hotel or a furnished apartment by the week. I found that I can rent a furnished Apartment by the week in Alizee's building cheaper than any hotel in Ajaccio.
In fact if you plan on visiting Corsica for more than a few days look into a furnished place before looking into a hotel if you're planning on staying for a week or more.