We stayed in Azzurra's place for a week during one of the coldest periods Rome has experienced in some time - complete with snow! Thankfully, the heat worked well though it took a bit of time to penetrate the entire house.
Unfortunately, the rest of the house was not in complete working order. Even though we checked with Azzurra while booking regarding good wifi, when we arrived the wifi was practically unusable. The speed test, when I could get it to work, showed 0.5 Mbps down, 0.3 Mbps up. After a bit of back and forth Azzurra eventually gave us the keys to another apartment nearby with much better wifi (literally, 100x faster) to use during the day, but it was inconvenient not to have fast wifi in the apartment in which we were sleeping. A couple other things: the sink in one of the bathrooms had a flat bottom and didn't really drain, and a portion of the wood flooring was coming up in one of the bedrooms.
Also, sound travels quite a bit from the street into the room, so keep this in mind if you're a light sleeper. This is especially true on weekends when the noise doesn't really die down until 3am or so.