I would definitely recommend to stay at Ana's house especially considering the price.
This was my first time traveling alone for the holidays, and coming back at night to that house and share some thoughts made me feel at home.
Walking alone at night in the neighborhood wasn't a problem either.
If you're a light sleeper, I would recommend to bring with you some earplugs.
The accomodation is also well connected to the city center with buses that run 24/24 h at only 5 mins walk.