We really liked our stay at Donatella's apartment. It's small but comfortable. It is really hot at this time of the year but the fan works good and make it more fresh at night. It is situated in a more local district but it gets a litle animated at night so it is really cool and authentic. The metro is only two minutes away so you are in the center in 10 minutes.
We didnt get the chance to meet Donatella. We met her friend wich was kind but didnt speak english so it was hard to ask questions. Still Donatella left us a booklet with some tips and clear informations.
Try it ! You will have a nice time in Milano.